Abstract

The invention relates to a quantum computational method for implementing a quantum operation modifying a logical input state to obtain a logical output state, comprising the following steps: providing at least one input particle (2), wherein the logical input state is encoded into an internal state of the at least one input particle (2), wherein the internal state of the at least one input particle (2) is a superposition of at least two basis states; providing at least two component particles (3), wherein distinct component states chosen from a set of at least two component states are encoded into the respective internal states of each of the at least two component particles (3), wherein the set of component states is linearly independent, wherein the at least two component particles (3) are indistinguishable particles; performing a rearrangement operation controlled by the internal state of the at least one input particle (2), wherein, conditioned on each of the at least two basis states of the internal state of the at least one input particle (2), the rearrangement operation populates an output site (4) with a respective component particle (3) of the at least two component particles (3); outputting at least the internal state of the population (6) at the output site (4) as logical output state.

IPC Classes  ?

• G06N 10/20 - Models of quantum computing, e.g. quantum circuits or universal quantum computers
• G06N 10/60 - Quantum algorithms, e.g. based on quantum optimisation, or quantum Fourier or Hadamard transforms
• G06N 10/70 - Quantum error correction, detection or prevention, e.g. surface codes or magic state distillation

Abstract

This application concerns a computer-implemented method for compiling an input unitary acting on a set of logical qubits to an output quantum circuit operable on a quantum system comprising a plurality of output qubits (1), wherein the output qubits (1) of the quantum system are arranged in accordance with a connectivity mesh (11), wherein nodes (111) of the connectivity mesh (11) represent possible sites for the output qubits (1) of the quantum system and each edge (112) of the connectivity mesh (11) indicates that quantum interactions between the output qubits (1) of the quantum system connected by one of the edges (112) are possible, comprising the following steps: providing the connectivity mesh (11) of the quantum system; assigning an index to each of the logical qubits; extracting a set of target labels (2) from the input unitary, wherein the target labels (2) correspond to a set comprising at least one of the indices of the logical qubits; compiling circuit building blocks (4) implementing a subset of the target labels (2), wherein the circuit building blocks (4) comprise body path gates (41) and/or leg gates (42) acting on the output qubits (1), wherein compiling the circuit building blocks (4) comprises: defining a tree (3) comprising a subset of edges (112) and a subset of nodes (111) of the connectivity mesh (11), wherein the tree (3) comprises a body (31) with at least one body node (1111) representing a site for an output qubit (1), wherein the body (31) comprises at least two output qubits (1) at two body nodes (1111) and at least one path (6) connecting all body nodes (1111) of the body (31) and/or at least one leg (32) with at least one leg node (1112) representing a site for an output qubit (1), wherein the at least one leg node (1112) is connected by an edge (112) with at least one body node (1111); adding a body path gate (41) to the output quantum circuit for each body node (1111) along the at least one path (6) and/or adding a leg path gate (42) to the output quantum circuit for each leg node (1112); adding a single-qubit gate (43) to the output quantum circuit for at least one of the target labels (2) of the input unitary, wherein the single-qubit gate acts on the output qubit (1) and at the moment on which the target label (2) is implemented due to the gates of the circuit building blocks (4).

IPC Classes  ?

• G06N 10/20 - Models of quantum computing, e.g. quantum circuits or universal quantum computers
• G06N 10/60 - Quantum algorithms, e.g. based on quantum optimisation, or quantum Fourier or Hadamard transforms

Abstract

This application concerns a computer-implemented method for compiling an input unitary acting on a set of logical qubits to an output quantum circuit operable on a quantum system comprising a plurality of output qubits (1), wherein the output qubits (1) of the quantum system are arranged in accordance with a connectivity mesh (11), wherein nodes (111) of the connectivity mesh (11) represent possible sites for the output qubits (1) of the quantum system and each edge (112) of the connectivity mesh (11) indicates that quantum interactions between the output qubits (1) of the quantum system connected by one of the edges (112) are possible, comprising the following steps: providing the connectivity mesh (11) of the quantum system; assigning an index to each of the logical qubits; extracting a set of target labels (2) from the input unitary, wherein the target labels (2) correspond to a set comprising at least one of the indices of the logical qubits; compiling circuit building blocks (4) implementing a subset of the target labels (2), wherein the circuit building blocks (4) comprise body path gates (41) and/or leg gates (42) acting on the output qubits (1), wherein compiling the circuit building blocks (4) comprises: defining a tree (3) comprising a subset of edges (112) and a subset of nodes (111) of the connectivity mesh (11), wherein the tree (3) comprises a body (31) with at least one body node (1111) representing a site for an output qubit (1), wherein the body (31) comprises at least two output qubits (1) at two body nodes (1111) and at least one path (6) connecting all body nodes (1111) of the body (31) and/or at least one leg (32) with at least one leg node (1112) representing a site for an output qubit (1), wherein the at least one leg node (1112) is connected by an edge (112) with at least one body node (1111); adding a body path gate (41) to the output quantum circuit for each body node (1111) along the at least one path (6) and/or adding a leg path gate (42) to the output quantum circuit for each leg node (1112); adding a single-qubit gate (43) to the output quantum circuit for at least one of the target labels (2) of the input unitary, wherein the single-qubit gate acts on the output qubit (1) and at the moment on which the target label (2) is implemented due to the gates of the circuit building blocks (4).

IPC Classes  ?

• G06N 10/20 - Models of quantum computing, e.g. quantum circuits or universal quantum computers
• G06N 10/60 - Quantum algorithms, e.g. based on quantum optimisation, or quantum Fourier or Hadamard transforms

Goods & Services

Software for quantum computing; computer software for creating, analysing and running quantum programs and quantum algorithms; computer software for quantum programming and for developing and testing quantum algorithms; downloadable computer software for developing quantum virtual machines (QVM); computer software for simulating quantum processes; computer operating systems for quantum computers; computer software for programming and running software on quantum computers; software for utilizing quantum computers in software applications; computer hardware for quantum programming and quantum computing; quantum detectors; quantum memories (computers); quantum sensors; quantum computers and processors for quantum computing; parts, components and fittings for quantum computers and for processors for quantum computing; quantum-based memories (computers); computer hardware for quantum communication systems; computer hardware for quantum cryptography systems; downloadable electronic publications relating to quantum computing, quantum programming, quantum algorithms, quantum information, quantum engineering, quantum technology, quantum computing architectures and quantum processor architectures; software for compiling and/or transpiling quantum circuits; computer hardware for compiling and/or transpiling quantum circuits; software for quantum computing architectures and quantum processor architectures; computer hardware for quantum computing architectures and quantum processor architectures. Design and development of the following goods, computer hardware and software relating to quantum computing, quantum programming, quantum algorithms, quantum information, quantum engineering, quantum technology, quantum computing architectures and quantum processor architectures; design and development of the following goods, quantum computer hardware, quantum computer software, quantum computing architectures and quantum processor architectures; advice and consultancy and provision of research services in relation to the following fields, quantum computing, quantum programming, quantum algorithms, quantum information, quantum engineering, quantum engineering, quantum computing architectures and quantum processor architectures; scientific and technological services and research and design services relating hereto in relation to the following fields, quantum computing, quantum programming, quantum algorithms, quantum information, quantum engineering, quantum engineering, quantum computing architectures and quantum processor architectures; providing of non-downloadable online software for temporary use for creating, analysing and running programs for quantum computers and quantum algorithms and for quantum simulations; software as a service [SaaS], namely the providing of software for creating, analysing and running programs for quantum computers and quantum algorithms; provision of PaaS services (platform as a service), namely the providing of interfaces for programming applications (API) for others for creating, analysing and running programs for quantum computers and quantum algorithms; application service provider services, namely hosting of computer software applications for others for creating, analysing and running programs for quantum computers and quantum algorithms; the providing of development tools for computer software and equipment for the development of software for quantum programs and quantum algorithms; maintenance and updating of software relating to quantum computing, quantum programming, quantum algorithms, quantum information, quantum engineering, quantum technology, quantum computing architectures and quantum processor architectures; software as a service [SaaS], namely providing of software for compiling and/or transpiling quantum circuits; provision of PaaS services (platform as a service), namely providing of application programming interfaces (APIs) for use by others for compiling and/or transpiling quantum circuits; application service provider services, namely hosting of computer software applications, for others, for compiling and/or transpiling quantum circuits.

Goods & Services

Software for quantum computing; Computer software for creating, analysing and running quantum programs and quantum algorithms; Computer software for quantum programming and for developing and testing quantum algorithms; Downloadable computer software for developing quantum virtual machines (QVM); Computer software for simulating quantum processes; computer operating systems for quantum computers; computer software for programming and running software on quantum computers; software for utilizing quantum computers in software applications; computer hardware for quantum programming and quantum computing; Quantum detectors; Quantum memories (computers); Quantum sensors; Quantum computers and processors for quantum computing; Parts, components and fittings for quantum computers and for processors for quantum computing; Quantum-based memories (computers); Computer hardware for quantum communication systems; Computer hardware for quantum cryptography systems; Electronic publications, downloadable; Software for compiling and/or transpiling quantum circuits; Computer hardware for compiling and/or transpiling quantum circuits; Software for quantum computing architectures and quantum processor architectures; Computer hardware for quantum computing architectures and quantum processor architectures. Design and development of computer hardware and software relating to quantum computing, quantum programming, quantum algorithms, quantum information, quantum engineering and quantum technology, Design and development of computer hardware and software relating to quantum computing architectures and quantum processor architectures; Design and development of the following goods: Quantum computer hardware, quantum computer software, Quantum computing architectures and quantum processor architectures; Research and consultancy in the following areas: Quantum computing, quantum programming, quantum algorithms, quantum information, Quantum engineering, quantum engineering, Quantum computing architectures and quantum processor architectures; Scientific and technological services and research and design services relating hereto in the following fields: Quantum computing, quantum programming, quantum algorithms, quantum information, Quantum engineering, quantum engineering, Quantum computing architectures and quantum processor architectures; Providing of non-downloadable online software for temporary use for creating, analysing and running programs for quantum computers and quantum algorithms and for quantum simulations; Software as a service [SaaS], Namely the providing of software for creating, analysing and running programs for quantum computers and quantum algorithms; provision of PaaS services (platform as a service), Namely the providing of interfaces for programming applications (API) for others for creating, analysing and running programs for quantum computers and quantum algorithms; Application service provider services, Namely hosting of computer software applications for others for creating, analysing and running programs for quantum computers and quantum algorithms; The providing of development tools for computer software and equipment for the development of software for quantum programs and quantum algorithms; Maintenance and updating of software relating to quantum computing, quantum programming, quantum algorithms, quantum information, quantum engineering, quantum technology, quantum computing architectures and quantum processor architectures; Software as a service [SaaS], namely Providing of software for compiling and/or transpiling quantum circuits; provision of PaaS services (platform as a service), namely Providing of application programming interfaces (APIs) for use by others for compiling and/or transpiling quantum circuits; Application service provider services, namely Hosting of computer software applications, for others, for compiling and/or transpiling quantum circuits.

Goods & Services

Software for quantum computing; computer software for creating, analysing and running quantum programs and quantum algorithms; computer software for quantum programming and for developing and testing quantum algorithms; downloadable computer software for developing quantum virtual machines (qvm); computer software for simulating quantum processes; computer operating systems for quantum computers; computer software for programming and running software on quantum computers; software for utilizing quantum computers in software applications; computer hardware for quantum programming and quantum computing; quantum detectors; quantum memories (computers); quantum sensors; quantum computers and processors for quantum computing; parts, components and fittings for quantum computers and for processors for quantum computing; quantum-based memories (computers); computer hardware for quantum communication systems; computer hardware for quantum cryptography systems; electronic publications, downloadable; software for compiling and/or transpiling quantum circuits; computer hardware for compiling and/or transpiling quantum circuits; software for quantum computing architectures and quantum processor architectures; computer hardware for quantum computing architectures and quantum processor architectures. Design and development of the following goods: computer hardware and software relating to quantum computing, quantum programming, quantum algorithms, quantum information, quantum engineering, quantum technology, quantum computing architectures and quantum processor architectures; design and development of the following goods: quantum computer hardware, quantum computer software, quantum computing architectures and quantum processor architectures; advice and consultancy and provision of research services in relation to the following fields: quantum computing, quantum programming, quantum algorithms, quantum information, quantum engineering, quantum engineering, quantum computing architectures and quantum processor architectures; scientific and technological services and research and design services relating hereto in relation to the following fields: quantum computing, quantum programming, quantum algorithms, quantum information, quantum engineering, quantum engineering, quantum computing architectures and quantum processor architectures; providing of non-downloadable online software for temporary use for creating, analysing and running programs for quantum computers and quantum algorithms and for quantum simulations; software as a service [SaaS], namely the providing of software for creating, analysing and running programs for quantum computers and quantum algorithms; provision of PaaS services (platform as a service), namely the providing of interfaces for programming applications (API) for others for creating, analysing and running programs for quantum computers and quantum algorithms; application service provider services, namely hosting of computer software applications for others for creating, analysing and running programs for quantum computers and quantum algorithms; the providing of development tools for computer software and equipment for the development of software for quantum programs and quantum algorithms; maintenance and updating of software relating to quantum computing, quantum programming, quantum algorithms, quantum information, quantum engineering, quantum technology, quantum computing architectures and quantum processor architectures; software as a service [SaaS], namely providing of software for compiling and/or transpiling quantum circuits; provision of PaaS services (platform as a service), namely providing of application programming interfaces (APIs) for use by others for compiling and/or transpiling quantum circuits; application service provider services, namely hosting of computer software applications, for others, for compiling and/or transpiling quantum circuits.

Goods & Services

(1) Software for quantum computing; computer software for creating, analysing and running quantum programs and quantum algorithms; computer software for quantum programming and for developing and testing quantum algorithms; downloadable computer software for developing quantum virtual machines (QVM); computer software for simulating quantum processes; computer operating systems for quantum computers; computer software for programming and running software on quantum computers; software for utilizing quantum computers in software applications; computer hardware for quantum programming and quantum computing; quantum detectors; quantum memories (computers); quantum sensors; quantum computers and processors for quantum computing; parts, components and fittings for quantum computers and for processors for quantum computing; quantum-based memories (computers); computer hardware for quantum communication systems; computer hardware for quantum cryptography systems; downloadable electronic publications relating to quantum computing, quantum programming, quantum algorithms, quantum information, quantum engineering, quantum technology, quantum computing architectures and quantum processor architectures; software for compiling and/or transpiling quantum circuits; computer hardware for compiling and/or transpiling quantum circuits; software for quantum computing architectures and quantum processor architectures; computer hardware for quantum computing architectures and quantum processor architectures. (1) Design and development of the following goods, computer hardware and software relating to quantum computing, quantum programming, quantum algorithms, quantum information, quantum engineering, quantum technology, quantum computing architectures and quantum processor architectures; design and development of the following goods, quantum computer hardware, quantum computer software, quantum computing architectures and quantum processor architectures; advice and consultancy and provision of research services in relation to the following fields, quantum computing, quantum programming, quantum algorithms, quantum information, quantum engineering, quantum engineering, quantum computing architectures and quantum processor architectures; scientific and technological services and research and design services relating hereto in relation to the following fields, quantum computing, quantum programming, quantum algorithms, quantum information, quantum engineering, quantum engineering, quantum computing architectures and quantum processor architectures; providing of non-downloadable online software for temporary use for creating, analysing and running programs for quantum computers and quantum algorithms and for quantum simulations; software as a service [SaaS], namely the providing of software for creating, analysing and running programs for quantum computers and quantum algorithms; provision of PaaS services (platform as a service), namely the providing of interfaces for programming applications (API) for others for creating, analysing and running programs for quantum computers and quantum algorithms; application service provider services, namely hosting of computer software applications for others for creating, analysing and running programs for quantum computers and quantum algorithms; the providing of development tools for computer software and equipment for the development of software for quantum programs and quantum algorithms; maintenance and updating of software relating to quantum computing, quantum programming, quantum algorithms, quantum information, quantum engineering, quantum technology, quantum computing architectures and quantum processor architectures; software as a service [SaaS], namely providing of software for compiling and/or transpiling quantum circuits; provision of PaaS services (platform as a service), namely providing of application programming interfaces (APIs) for use by others for compiling and/or transpiling quantum circuits; application service provider services, namely hosting of computer software applications, for others, for compiling and/or transpiling quantum circuits.

Goods & Services

Software for quantum computing; Computer software for creating, analysing and running quantum programs and quantum algorithms; Computer software for quantum programming and for developing and testing quantum algorithms; Downloadable computer software for developing quantum virtual machines (QVM); Computer software for simulating quantum processes; computer operating systems for quantum computers; computer software for programming and running software on quantum computers; software for utilizing quantum computers in software applications; computer hardware for quantum programming and quantum computing; Quantum detectors; Quantum memories (computers); Quantum sensors; Quantum computers and processors for quantum computing; Parts, components and fittings for quantum computers and for processors for quantum computing; Quantum-based memories (computers); Computer hardware for quantum communication systems; Computer hardware for quantum cryptography systems; Electronic publications, downloadable; Software for compiling and/or transpiling quantum circuits; Computer hardware for compiling and/or transpiling quantum circuits; Software for quantum computing architectures and quantum processor architectures; Computer hardware for quantum computing architectures and quantum processor architectures. Design and development of the following goods: Computer hardware and software relating to quantum computing, quantum programming, quantum algorithms, quantum information, quantum engineering, quantum technology, quantum computing architectures and quantum processor architectures; Design and development services in relation to the following fields: Quantum computer hardware, quantum computer software, Quantum computing architectures and quantum processor architectures; Advice and consultancy and Provision of research services in relation to the following fields: Quantum computing, quantum programming, quantum algorithms, quantum information, Quantum engineering, quantum engineering, Quantum computing architectures and quantum processor architectures; Scientific and technological services and research and design services relating hereto in relation to the following fields: Quantum computing, quantum programming, quantum algorithms, quantum information, Quantum engineering, quantum engineering, Quantum computing architectures and quantum processor architectures; Providing of non-downloadable online software for temporary use for creating, analysing and running programs for quantum computers and quantum algorithms and for quantum simulations; Software as a service [SaaS], Namely the providing of software for creating, analysing and running programs for quantum computers and quantum algorithms; provision of PaaS services (platform as a service), Namely the providing of interfaces for programming applications (API) for others for creating, analysing and running programs for quantum computers and quantum algorithms; Application service provider services, Namely hosting of computer software applications for others for creating, analysing and running programs for quantum computers and quantum algorithms; The providing of development tools for computer software and equipment for the development of software for quantum programs and quantum algorithms; Maintenance and updating of software relating to quantum computing, quantum programming, quantum algorithms, quantum information, quantum engineering, quantum technology, quantum computing architectures and quantum processor architectures; Software as a service [SaaS], namely Providing of software for compiling and/or transpiling quantum circuits; provision of PaaS services (platform as a service), namely Providing of application programming interfaces (APIs) for use by others for compiling and/or transpiling quantum circuits; Application service provider services, namely Hosting of computer software applications, for others, for compiling and/or transpiling quantum circuits.

Goods & Services

(1) Software for quantum computing; computer software for creating, analysing and running quantum programs and quantum algorithms; computer software for quantum programming and for developing and testing quantum algorithms; downloadable computer software for developing quantum virtual machines (qvm); computer software for simulating quantum processes; computer operating systems for quantum computers; computer software for programming and running software on quantum computers; software for utilizing quantum computers in software applications; computer hardware for quantum programming and quantum computing; quantum detectors; quantum memories (computers); quantum sensors; quantum computers and processors for quantum computing; parts, components and fittings for quantum computers and for processors for quantum computing; quantum-based memories (computers); computer hardware for quantum communication systems; computer hardware for quantum cryptography systems; electronic publications, downloadable; software for compiling and/or transpiling quantum circuits; computer hardware for compiling and/or transpiling quantum circuits; software for quantum computing architectures and quantum processor architectures; computer hardware for quantum computing architectures and quantum processor architectures. (1) Design and development of the following goods: computer hardware and software relating to quantum computing, quantum programming, quantum algorithms, quantum information, quantum engineering, quantum technology, quantum computing architectures and quantum processor architectures; design and development of the following goods: quantum computer hardware, quantum computer software, quantum computing architectures and quantum processor architectures; advice and consultancy and provision of research services in relation to the following fields: quantum computing, quantum programming, quantum algorithms, quantum information, quantum engineering, quantum engineering, quantum computing architectures and quantum processor architectures; scientific and technological services and research and design services relating hereto in relation to the following fields: quantum computing, quantum programming, quantum algorithms, quantum information, quantum engineering, quantum engineering, quantum computing architectures and quantum processor architectures; providing of non-downloadable online software for temporary use for creating, analysing and running programs for quantum computers and quantum algorithms and for quantum simulations; software as a service [SaaS], namely the providing of software for creating, analysing and running programs for quantum computers and quantum algorithms; provision of PaaS services (platform as a service), namely the providing of interfaces for programming applications (API) for others for creating, analysing and running programs for quantum computers and quantum algorithms; application service provider services, namely hosting of computer software applications for others for creating, analysing and running programs for quantum computers and quantum algorithms; the providing of development tools for computer software and equipment for the development of software for quantum programs and quantum algorithms; maintenance and updating of software relating to quantum computing, quantum programming, quantum algorithms, quantum information, quantum engineering, quantum technology, quantum computing architectures and quantum processor architectures; software as a service [SaaS], namely providing of software for compiling and/or transpiling quantum circuits; provision of PaaS services (platform as a service), namely providing of application programming interfaces (APIs) for use by others for compiling and/or transpiling quantum circuits; application service provider services, namely hosting of computer software applications, for others, for compiling and/or transpiling quantum circuits.

Goods & Services

Software for quantum computing; Computer software for creating, analysing and running quantum programs and quantum algorithms; Computer software for quantum programming and for developing and testing quantum algorithms; Downloadable computer software for developing quantum virtual machines (QVM); Computer software for simulating quantum processes; computer operating systems for quantum computers; computer software for programming and running software on quantum computers; software for utilizing quantum computers in software applications; computer hardware for quantum programming and quantum computing; Quantum detectors; Quantum memories (computers); Quantum sensors; Quantum computers and processors for quantum computing; Parts, components and fittings for quantum computers and for processors for quantum computing; Quantum-based memories (computers); Computer hardware for quantum communication systems; Computer hardware for quantum cryptography systems; Downloadable electronic publications relating to quantum computing, quantum programming, quantum algorithms, quantum information, quantum engineering, quantum technology, quantum computing architectures and quantum processor architectures; Software for compiling and/or transpiling quantum circuits; Computer hardware for compiling and/or transpiling quantum circuits; Software for quantum computing architectures and quantum processor architectures; Computer hardware for quantum computing architectures and quantum processor architectures. Design and development of the following goods: Computer hardware and software relating to quantum computing, quantum programming, quantum algorithms, quantum information, quantum engineering, quantum technology, quantum computing architectures and quantum processor architectures; Design and development of the following goods: Quantum computer hardware, quantum computer software, Quantum computing architectures and quantum processor architectures; Advice and consultancy and Provision of research services in relation to the following fields: Quantum computing, quantum programming, quantum algorithms, quantum information, Quantum engineering, quantum engineering, Quantum computing architectures and quantum processor architectures; Scientific and technological services and research and design services relating hereto in relation to the following fields: Quantum computing, quantum programming, quantum algorithms, quantum information, Quantum engineering, quantum engineering, Quantum computing architectures and quantum processor architectures; Providing of non-downloadable online software for temporary use for creating, analysing and running programs for quantum computers and quantum algorithms and for quantum simulations; Software as a service [SaaS], Namely the providing of software for creating, analysing and running programs for quantum computers and quantum algorithms; provision of PaaS services (platform as a service), Namely the providing of interfaces for programming applications (API) for others for creating, analysing and running programs for quantum computers and quantum algorithms; Application service provider services, Namely hosting of computer software applications for others for creating, analysing and running programs for quantum computers and quantum algorithms; The providing of development tools for computer software and equipment for the development of software for quantum programs and quantum algorithms; Maintenance and updating of software relating to quantum computing, quantum programming, quantum algorithms, quantum information, quantum engineering, quantum technology, quantum computing architectures and quantum processor architectures; Software as a service [SaaS], namely Providing of software for compiling and/or transpiling quantum circuits; provision of PaaS services (platform as a service), namely Providing of application programming interfaces (APIs) for use by others for compiling and/or transpiling quantum circuits; Application service provider services, namely Hosting of computer software applications, for others, for compiling and/or transpiling quantum circuits.

Goods & Services

Software for quantum computing; Computer software for creating, analysing and running quantum programs and quantum algorithms; Computer software for quantum programming and for developing and testing quantum algorithms; Downloadable computer software for developing quantum virtual machines (QVM); Computer software for simulating quantum processes; computer operating systems for quantum computers; computer software for programming and running software on quantum computers; software for utilizing quantum computers in software applications; computer hardware for quantum programming and quantum computing; Quantum detectors; Quantum memories (computers); Quantum sensors; Quantum computers and processors for quantum computing; Parts, components and fittings for quantum computers and for processors for quantum computing; Quantum-based memories (computers); Computer hardware for quantum communication systems; Computer hardware for quantum cryptography systems; Electronic publications, downloadable; Software for compiling and/or transpiling quantum circuits; Computer hardware for compiling and/or transpiling quantum circuits; Software for quantum computing architectures and quantum processor architectures; Computer hardware for quantum computing architectures and quantum processor architectures. Design and development of the following goods: Computer hardware and software relating to quantum computing, quantum programming, quantum algorithms, quantum information, quantum engineering, quantum technology, quantum computing architectures and quantum processor architectures; Design and development of the following goods: Quantum computer hardware, quantum computer software, Quantum computing architectures and quantum processor architectures; Advice and consultancy and Provision of research services in relation to the following fields: Quantum computing, quantum programming, quantum algorithms, quantum information, Quantum engineering, quantum engineering, Quantum computing architectures and quantum processor architectures; Scientific and technological services and research and design services relating hereto in relation to the following fields: Quantum computing, quantum programming, quantum algorithms, quantum information, Quantum engineering, quantum engineering, Quantum computing architectures and quantum processor architectures; Providing of non-downloadable online software for temporary use for creating, analysing and running programs for quantum computers and quantum algorithms and for quantum simulations; Software as a service [SaaS], Namely the providing of software for creating, analysing and running programs for quantum computers and quantum algorithms; provision of PaaS services (platform as a service), Namely the providing of interfaces for programming applications (API) for others for creating, analysing and running programs for quantum computers and quantum algorithms; Application service provider services, Namely hosting of computer software applications for others for creating, analysing and running programs for quantum computers and quantum algorithms; The providing of development tools for computer software and equipment for the development of software for quantum programs and quantum algorithms; Maintenance and updating of software relating to quantum computing, quantum programming, quantum algorithms, quantum information, quantum engineering, quantum technology, quantum computing architectures and quantum processor architectures; Software as a service [SaaS], namely Providing of software for compiling and/or transpiling quantum circuits; provision of PaaS services (platform as a service), namely Providing of application programming interfaces (APIs) for use by others for compiling and/or transpiling quantum circuits; Application service provider services, namely Hosting of computer software applications, for others, for compiling and/or transpiling quantum circuits.

Abstract

A quantum computational method is provided. The quantum computational method includes providing a physical quantum system (100) comprising constituents (50). The quantum computational method includes performing an encoded quantum computation on the physical quantum system. Performing the encoded quantum computation includes preparing at least a portion of the physical quantum system in an initial quantum state. Performing the encoded quantum computation includes evolving at least a portion of the physical quantum system to a final quantum state. Performing the encoded quantum computation includes measuring at least a portion of the physical quantum system to provide a read-out. During at least a portion of the encoded quantum computation, the quantum state of at least a portion of the quantum system is an encoded quantum state corresponding to a quantum error-correction code. The quantum error-correction code is a parity code that encodes logical qubits (10) into code qubits (20). The code qubits include parity qubits, wherein each parity qubit represents the parity of an associated subset of logical qubits. Each code qubit is physically implemented in a corresponding subsystem (50, 350) of the physical quantum system, wherein the subsystem comprises one or more constituents. During a first portion of the encoded quantum computation, the code qubits include a first code qubit duplication set (1350, 1450, 1550, 1651-1653, 1750) associated with a first logical qubit. The first code qubit duplication set includes at least three code qubits, wherein either (a) each code qubit in the first code qubit duplication set is a parity qubit representing the parity of a same first subset of logical qubits that includes the first logical qubit or (b) each code qubit in the first code qubit duplication set is a data qubit representing a quantum state of the first logical qubit. The quantum computational method further includes performing a first sequence of physical quantum operations on the physical quantum system during the first portion of the encoded quantum computation. The first sequence of physical quantum operations acts at least on the subsystems of the physical quantum system corresponding to the code qubits in the first code qubit duplication set. The first sequence of physical quantum operations is an encoded realization, via the parity code, of a first logical quantum operation (501-505, 1310, 1410, 1310, 1510, 1610, 1710, 1810) acting at least on the first logical qubit.

IPC Classes  ?

• G06N 10/20 - Models of quantum computing, e.g. quantum circuits or universal quantum computers
• G06N 10/70 - Quantum error correction, detection or prevention, e.g. surface codes or magic state distillation

Abstract

A quantum computational method is provided. The quantum computational method includes providing a physical quantum system (1) comprising constituents (2). The quantum computational method includes performing an encoded quantum computation (7) on the physical quantum system (1), including: preparing at least a portion of the physical quantum system (1) in an initial quantum state; evolving the physical quantum system (1) to a final quantum state; measuring at least a portion of the physical quantum system (1) to provide a read-out; and determining an output of the encoded quantum computation (7) based on the read-out. During at least a portion of the encoded quantum computation (7), the quantum state of at least a subset of the constituents (2) is an encoded quantum state according to an encoding. Evolving the physical quantum system (1) to a final quantum state comprises performing a plurality of encoding evolution steps (105) for changing the encoding of the constituents (2) and a plurality of algorithm evolutions steps (106) for physically implementing at least a part of the action of at least one of a plurality of instructions (61, 62) of a quantum algorithm (6) under the current encoding. At least some of the plurality of encoding evolution steps (105) and at least some of the plurality of algorithm evolution steps (106) are performed according to an alternating sequence with alternation between an encoding evolution step (105) and an algorithm evolution step (106). At least one encoding evolution step (105) of the alternating sequence comprises performing a set of parity encoding operations (75). Each parity encoding operation (75) of the set of parity encoding operations (75) is performed on a respective subset of at least two of the constituents (2). Each parity encoding operation (75) of the set of parity encoding operations (75) encodes a parity of all constituents (2) of the respective subset of at least two constituents (2) into at least one of the constituents (2) of said subset. At least one algorithm evolution step (106) of the alternating sequence includes performing at least one algorithm action operation (74) on at least one of the constituents (2), wherein the at least one algorithm action operation (74) physically implements at least a part of the action of at least one of the plurality of instructions (61, 62) of the quantum algorithm (6) under the current encoding of the constituents (2).

IPC Classes  ?

• G06N 10/20 - Models of quantum computing, e.g. quantum circuits or universal quantum computers
• G06N 10/60 - Quantum algorithms, e.g. based on quantum optimisation, or quantum Fourier or Hadamard transforms

IPC Classes  ?

• G06N 10/20 - Models of quantum computing, e.g. quantum circuits or universal quantum computers
• G06N 10/60 - Quantum algorithms, e.g. based on quantum optimisation, or quantum Fourier or Hadamard transforms

Abstract

A method of performing a quantum computation includes providing a quantum system comprising constituents; encoding a computational problem into a problem Hamiltonian of the quantum system; determining a constraint Hamiltonian of the quantum system; the constraint Hamiltonian a sum of summand constraint Hamiltonians; a ground state of a total Hamiltonian encodes a solution to the computational problem, the total Hamiltonian includes a sum of the problem Hamiltonian and the constraint Hamiltonian; determining a first subset S1 of the summand constraint Hamiltonians of the constraint Hamiltonian and a second subset S2 of the summand constraint Hamiltonians of the constraint Hamiltonian; performing N rounds of operations, wherein N≥2, each round includes preparing an initial quantum state and evolving the quantum system according to a sequence of unitary operators where the sequence includes problem-encoding unitary operators, constraint-enforcing unitary operators and unitary driver operators; and outputting a result of the quantum computation.

IPC Classes  ?

• G06F 17/14 - Fourier, Walsh or analogous domain transformations
• G06N 10/60 - Quantum algorithms, e.g. based on quantum optimisation, or quantum Fourier or Hadamard transforms

Abstract

A quantum computational method of performing prime factorization of an integer includes determining a logic gate circuit including logic gates, the circuit configured to compute a multiplication function outputting the integer. The method includes determining gate-encoding Hamiltonians (HG) for each logic gate, each HG encodes an input-output relation of a logic gate and is a sum of summand Hamiltonians; providing a quantum system comprising constituents, wherein each summand Hamiltonian of each HG is associated with a constituent of the system; determining a first set of short-range quantum interactions of the constituents based on the logic gates; determining a second set of short-range quantum interactions of the constituents based on the integer; implementing the first and the second set of short-range quantum interactions; measuring at least a portion of the quantum system to obtain a read-out and determining a prime factor of the integer based on the read-out.

IPC Classes  ?

• G06N 10/60 - Quantum algorithms, e.g. based on quantum optimisation, or quantum Fourier or Hadamard transforms
• G06F 17/14 - Fourier, Walsh or analogous domain transformations
• G06N 10/20 - Models of quantum computing, e.g. quantum circuits or universal quantum computers

IPC Classes  ?

• G06N 10/40 - Physical realisations or architectures of quantum processors or components for manipulating qubits, e.g. qubit coupling or qubit control
• G06N 10/60 - Quantum algorithms, e.g. based on quantum optimisation, or quantum Fourier or Hadamard transforms

Abstract

This application concerns methods and apparatus for solving a combinatorial optimization problem the method comprising: providing a quantum system comprising a plurality of physical qubits in a spatial arrangement, wherein the plurality of physical qubits encode the combinatorial optimization problem, wherein the physical qubits comprise problem qubits (222) corresponding to the combinatorial optimization problem and ancilla qubits (223), wherein each problem qubit (222) corresponds to a hyperedge (112, 113) of the combinatorial optimization problem, initializing the plurality of qubits into an initial state, driving the initial state into a final state by applying light pulses with a constant or variable duration, a constant or variable optical phase and a constant or variable detuning to at least some of the plurality of qubits, measuring at least some of the physical qubits to obtain a readout, and optionally executing at least two iterations of the initializing, driving and measuring steps, wherein the driving step is optionally optimized depending on the outcome of the measuring step, and obtaining a solution to the combinatorial optimization problem based on the readout.

IPC Classes  ?

• G06N 10/60 - Quantum algorithms, e.g. based on quantum optimisation, or quantum Fourier or Hadamard transforms
• G06N 10/40 - Physical realisations or architectures of quantum processors or components for manipulating qubits, e.g. qubit coupling or qubit control

IPC Classes  ?

• G06N 10/20 - Models of quantum computing, e.g. quantum circuits or universal quantum computers
• G06N 10/40 - Physical realisations or architectures of quantum processors or components for manipulating qubits, e.g. qubit coupling or qubit control
• G06N 10/60 - Quantum algorithms, e.g. based on quantum optimisation, or quantum Fourier or Hadamard transforms
• G06N 10/70 - Quantum error correction, detection or prevention, e.g. surface codes or magic state distillation

Abstract

This application concerns methods and apparatus for performing a quantum algorithm of logical qubits. The quantum algorithm is performed on a quantum system of physical qubits. The method includes providing a quantum system comprising a plurality of physical qubits in a spatial arrangement. The number of physical qubits is larger than the number of logical qubits. The logical qubits are encoded into physical qubits. A physical qubit represents either the parity of two or more logical qubits or a single logical qubit. Constraint-fulfilling sets of physical qubits fulfil constraints and each constraint-fulfilling set comprises a number of physical qubits such that every logical qubit is represented by zero or an even number of physical qubits in that set. The method includes enabling quantum interactions between logical qubits by performing quantum interactions on physical qubits. Further, at least a portion of the physical qubits is measured to obtain a readout.

IPC Classes  ?

• G06N 10/20 - Models of quantum computing, e.g. quantum circuits or universal quantum computers
• G06N 10/70 - Quantum error correction, detection or prevention, e.g. surface codes or magic state distillation
• G06N 10/60 - Quantum algorithms, e.g. based on quantum optimisation, or quantum Fourier or Hadamard transforms
• G06N 10/40 - Physical realisations or architectures of quantum processors or components for manipulating qubits, e.g. qubit coupling or qubit control

Abstract

This application concerns methods and apparatus for performing a quantum algorithm of logical qubits. The quantum algorithm is performed on a quantum system of physical qubits. The method includes providing a quantum system comprising a plurality of physical qubits in a spatial arrangement. The number of physical qubits is larger than the number of logical qubits. The logical qubits are encoded into physical qubits. A physical qubit represents either the parity of two or more logical qubits or a single logical qubit. Constraint-fulfilling sets of physical qubits fulfil constraints and each constraint-fulfilling set comprises a number of physical qubits such that every logical qubit is represented by zero or an even number of physical qubits in that set. The method includes enabling quantum interactions between logical qubits by performing quantum interactions on physical qubits. Further, at least a portion of the physical qubits is measured to obtain a readout.

IPC Classes  ?

• G06N 10/70 - Quantum error correction, detection or prevention, e.g. surface codes or magic state distillation
• G06N 10/20 - Models of quantum computing, e.g. quantum circuits or universal quantum computers
• G06N 10/40 - Physical realisations or architectures of quantum processors or components for manipulating qubits, e.g. qubit coupling or qubit control
• G06N 10/60 - Quantum algorithms, e.g. based on quantum optimisation, or quantum Fourier or Hadamard transforms

Abstract

A method for machine learning using a quantum system is provided. A neural network is associated with the quantum system. The method includes initializing the quantum system in an initial quantum state, and, for each configuration of a number of configurations taken from the training data set, encoding the configuration in input qubits that form a subset of the set of primary qubits, and, for each configuration of the number of configurations, performing N rounds of operations. Each round includes applying a sequence of unitary operators acting on at least a portion of the quantum system, and performing a measurement of at least a portion of the quantum system. The method includes performing a measurement of one or more ancillary qubits. The method includes, based at least on the measurement of the one or more ancillary qubits, determining at least one weight of a connection of the plurality of connections.

IPC Classes  ?

• G06N 10/60 - Quantum algorithms, e.g. based on quantum optimisation, or quantum Fourier or Hadamard transforms
• G06N 3/08 - Learning methods
• G06N 10/70 - Quantum error correction, detection or prevention, e.g. surface codes or magic state distillation

Abstract

A method of performing a quantum computation is provided. The method includes providing a quantum system (300) comprising constituents (302). The method includes encoding a computational problem (110) into a problem Hamiltonian (150) of the quantum system. The problem Hamiltonian is a single-body Hamiltonian being a sum of summand problem Hamiltonians (152). The method includes determining a constraint Hamiltonian (250) of the quantum system. The constraint Hamiltonian is a sum of summand constraint Hamiltonians (252). A ground state of a total Hamiltonian encodes a solution to the computational problem. The total Hamiltonian includes a sum of the problem Hamiltonian and the constraint Hamiltonian. The method includes determining a first subset Si of the summand constraint Hamiltonians of the constraint Hamiltonian and a second subset S2 of the summand constraint Hamiltonians of the constraint Hamiltonian. The method includes performing N rounds of operations, wherein N 2. Each round includes preparing an initial quantum state. Each round includes evolving the quantum system according to a sequence of unitary operators. The sequence includes problem-encoding unitary operators, constraint-enforcing unitary operators and unitary driver operators. Each problem-encoding unitary operator is a unitary time evolution operator of a summand problem Hamiltonian of the problem Hamiltonian or is a unitary time evolution operator of a sum of summand problem Hamiltonians of the problem Hamiltonian. Each constraint-enforcing unitary operator is a unitary time evolution operator of a summand constraint Hamiltonian taken from the first subset of the summand constraint Hamiltonians of the constraint Hamiltonian, or is a unitary time evolution operator of a sum of summand constraint Hamiltonians taken from said first subset. Each unitary driver operator is a unitary operator that commutes with every summand constraint Hamiltonian from the second subset of the summand constraint Hamiltonians of the constraint Hamiltonian. Each round includes performing a measurement of one or more constituents of the quantum system. The method includes outputting a result (590) of the quantum computation.

IPC Classes  ?

• G06N 5/00 - Computing arrangements using knowledge-based models
• G06N 10/20 - Models of quantum computing, e.g. quantum circuits or universal quantum computers
• G06N 10/40 - Physical realisations or architectures of quantum processors or components for manipulating qubits, e.g. qubit coupling or qubit control
• G06N 10/60 - Quantum algorithms, e.g. based on quantum optimisation, or quantum Fourier or Hadamard transforms

Abstract

A method of determining a quantum operation control layout for a quantum computation on a quantum system is provided. The quantum computation is to be carried out on constituents of the quantum system arranged in accordance with a mesh. Vertices of the mesh represent possible sites for the constituents of the quantum system. Each cell of the mesh indicates that quantum interactions between constituents of the quantum system arranged in that cell are possible during the quantum computation. The method includes providing a data set including data representing hyperedges of a hypergraph. The method includes determining a set of generalized cycles. The method includes determining a mesh mapping that maps data representing the hyperedges of the hypergraph or of the enlarged hypergraph to the vertices of the mesh. The method includes generating the quantum operation control layout. The quantum operation control layout includes data indicating layout vertices of the mesh.

IPC Classes  ?

• G06N 10/40 - Physical realisations or architectures of quantum processors or components for manipulating qubits, e.g. qubit coupling or qubit control

Abstract

122 of the summand constraint Hamiltonians of the constraint Hamiltonian. The method includes performing N rounds of operations, wherein N ≥ 2. Each round includes preparing an initial quantum state. Each round includes evolving the quantum system according to a sequence of unitary operators. The sequence includes problem-encoding unitary operators, constraint-enforcing unitary operators and unitary driver operators. Each problem-encoding unitary operator is a unitary time evolution operator of a summand problem Hamiltonian of the problem Hamiltonian or is a unitary time evolution operator of a sum of summand problem Hamiltonians of the problem Hamiltonian. Each constraint-enforcing unitary operator is a unitary time evolution operator of a summand constraint Hamiltonian taken from the first subset of the summand constraint Hamiltonians of the constraint Hamiltonian, or is a unitary time evolution operator of a sum of summand constraint Hamiltonians taken from said first subset. Each unitary driver operator is a unitary operator that commutes with every summand constraint Hamiltonian from the second subset of the summand constraint Hamiltonians of the constraint Hamiltonian. Each round includes performing a measurement of one or more constituents of the quantum system. The method includes outputting a result (590) of the quantum computation.

IPC Classes  ?

• G06N 5/00 - Computing arrangements using knowledge-based models
• G06N 10/20 - Models of quantum computing, e.g. quantum circuits or universal quantum computers
• G06N 10/60 - Quantum algorithms, e.g. based on quantum optimisation, or quantum Fourier or Hadamard transforms
• G06N 10/40 - Physical realisations or architectures of quantum processors or components for manipulating qubits, e.g. qubit coupling or qubit control

Abstract

A quantum computational method of performing prime factorization of an integer includes determining a logic gate circuit (1000) including logic gates (1010-1013, 1020-1023, 1030-1033, 1040-1043), the logic gate circuit being configured to compute a multiplication function having, as an output, the integer. The quantum computational method includes determining gate-encoding Hamiltonians (HG), one for each logic gate of the logic gates, wherein each gate-encoding Hamiltonian encodes an input-output relation of a logic gate of the logic gates and is a sum of summand Hamiltonians. The quantum computational method includes providing a quantum system (1100) comprising constituents (401-404, 901-904, 911-914), wherein each summand Hamiltonian of each gate-encoding Hamiltonian of the gate-encoding Hamiltonians is associated with a respective constituent of the quantum system. The quantum computational method includes determining a first set of short-range quantum interactions of the constituents based on the logic gates of the logic gate circuit. The quantum computational method includes determining a second set of short-range quantum interactions of the constituents based on the integer. The quantum computational method includes evolving the quantum system, including implementing the first set of short-range quantum interactions and the second set of short-range quantum interactions. The quantum computational method includes measuring at least a portion of the quantum system to obtain a read-out. The quantum computational method includes determining a prime factor of the integer based on the read-out.

IPC Classes  ?

• G06N 10/60 - Quantum algorithms, e.g. based on quantum optimisation, or quantum Fourier or Hadamard transforms
• G06N 10/40 - Physical realisations or architectures of quantum processors or components for manipulating qubits, e.g. qubit coupling or qubit control

Abstract

A quantum computational method of performing prime factorization of an integer includes determining a logic gate circuit (1000) including logic gates (1010-1013, 1020-1023, 1030-1033, 1040-1043), the logic gate circuit being configured to compute a multiplication function having, as an output, the integer. The quantum computational method includes determining gate-encoding Hamiltonians (HG), one for each logic gate of the logic gates, wherein each gate-encoding Hamiltonian encodes an input-output relation of a logic gate of the logic gates and is a sum of summand Hamiltonians. The quantum computational method includes providing a quantum system (1100) comprising constituents (401-404, 901-904, 911-914), wherein each summand Hamiltonian of each gate-encoding Hamiltonian of the gate-encoding Hamiltonians is associated with a respective constituent of the quantum system. The quantum computational method includes determining a first set of short-range quantum interactions of the constituents based on the logic gates of the logic gate circuit. The quantum computational method includes determining a second set of short-range quantum interactions of the constituents based on the integer. The quantum computational method includes evolving the quantum system, including implementing the first set of short-range quantum interactions and the second set of short-range quantum interactions. The quantum computational method includes measuring at least a portion of the quantum system to obtain a read-out. The quantum computational method includes determining a prime factor of the integer based on the read-out.

IPC Classes  ?

• G06N 10/40 - Physical realisations or architectures of quantum processors or components for manipulating qubits, e.g. qubit coupling or qubit control
• G06N 10/60 - Quantum algorithms, e.g. based on quantum optimisation, or quantum Fourier or Hadamard transforms

Abstract

A method of computing a solution to a computational problem using a quantum system comprising a plurality of qubits includes encoding the computational problem into a single-body problem Hamiltonian comprising a plurality of adjustable parameters, and encoding comprises determining a problem-encoding configuration for the plurality of adjustable parameters. The method includes evolving an initial Hamiltonian at an initial time into a final Hamiltonian at a final time via an intermediate Hamiltonian at an intermediate time, the intermediate Hamiltonian a linear combination of the initial Hamiltonian, the final Hamiltonian and a first short-range Hamiltonian, the final Hamiltonian a sum of the problem Hamiltonian and a second short-range Hamiltonian, the plurality of adjustable parameters of the problem Hamiltonian in the problem-encoding configuration, the second short-range Hamiltonian a d-body Hamiltonian; measuring a portion of the plurality of qubits to obtain a read-out; and determining a solution to the computational problem from the read-out.

IPC Classes  ?

• G06N 10/40 - Physical realisations or architectures of quantum processors or components for manipulating qubits, e.g. qubit coupling or qubit control
• G06N 10/80 - Quantum programming, e.g. interfaces, languages or software-development kits for creating or handling programs capable of running on quantum computersPlatforms for simulating or accessing quantum computers, e.g. cloud-based quantum computing

Abstract

According to an embodiment, a method of performing a quantum computation on a quantum system is provided. The method includes encoding a computational problem into a problem Hamiltonian of constituents of the quantum system. The method includes mapping a side condition or side conditions associated with the computational problem to an exchange Hamiltonian of a first part of the constituents of the quantum system. The method includes initializing the constituents of the quantum system in an initial state. The method includes evolving the quantum system by interactions of the constituents of the quantum system. The interactions include interactions determined by a final Hamiltonian, interactions determined by the exchange Hamiltonian, and interactions determined by a driver Hamiltonian. The final Hamiltonian is the sum of the problem Hamiltonian and of a short-range Hamiltonian. The driver Hamiltonian is a Hamiltonian of a second part of the constituents of the quantum system. The method includes measuring at least a portion of the constituents of the quantum system to obtain a read-out.

IPC Classes  ?

• G06N 10/00 - Quantum computing, i.e. information processing based on quantum-mechanical phenomena

Abstract

According to an embodiment, a method of performing a quantum computation on a quantum system is provided. The method includes encoding a computational problem into a problem Hamiltonian of constituents of the quantum system. The method includes mapping a side condition or side conditions associated with the computational problem to an exchange Hamiltonian of a first part of the constituents of the quantum system. The method includes initializing the constituents of the quantum system in an initial state. The method includes evolving the quantum system by interactions of the constituents of the quantum system. The interactions include interactions determined by a final Hamiltonian, interactions determined by the exchange Hamiltonian, and interactions determined by a driver Hamiltonian. The final Hamiltonian is the sum of the problem Hamiltonian and of a short-range Hamiltonian. The driver Hamiltonian is a Hamiltonian of a second part of the constituents of the quantum system. The method includes measuring at least a portion of the constituents of the quantum system to obtain a read-out.

IPC Classes  ?

• G06N 10/00 - Quantum computing, i.e. information processing based on quantum-mechanical phenomena

Abstract

A method of performing a quantum computation includes providing a quantum system comprising a plurality of qubits. The method includes encoding a computational problem into a problem Hamiltonian of the quantum system. The problem Hamiltonian is a single-body Hamiltonian comprising a plurality of adjustable parameters. The encoding includes determining, from the computational problem, a problem-encoding configuration for the plurality of adjustable parameters. The method includes performing N rounds of operations, wherein N≥2. Each round of the N rounds of operations includes determining a sequence of unitary operators, wherein each unitary operator in the sequence is a unitary operator being a unitary time evolution of the problem Hamiltonian, wherein the plurality of adjustable parameters of the problem Hamiltonian are in the problem-encoding configuration, or a unitary operator being a product of two or more short-range unitary operators. Each round of the N rounds of operations includes evolving the quantum system by applying the sequence of unitary operators to the quantum system. Each round of the N rounds of operations includes performing a measurement of one or more qubits of the quantum system. The method includes outputting a result of the quantum computation.

IPC Classes  ?

• G06N 10/40 - Physical realisations or architectures of quantum processors or components for manipulating qubits, e.g. qubit coupling or qubit control
• G06F 7/48 - Methods or arrangements for performing computations using exclusively denominational number representation, e.g. using binary, ternary, decimal representation using non-contact-making devices, e.g. tube, solid state deviceMethods or arrangements for performing computations using exclusively denominational number representation, e.g. using binary, ternary, decimal representation using unspecified devices

Abstract

A method for machine learning using a quantum system is provided. The method includes providing a quantum system comprising a set of primary qubits (5101, 5102, 5103, 5104, 5201, 5202, 5203, 515ij) and a set of ancillary qubits (550ij). A neural network is associated with the quantum system. The neural network includes a first set of nodes (101, 102, 103, 104) and a second set of nodes (201, 202, 203). The neural network includes a plurality of connections (15ij) between the first set of nodes and the second set of nodes, each connection having a weight. The neural network includes a training data set comprising a plurality of configurations for the first set of nodes. Each connection (15ij) of the plurality of connections is both associated with a primary qubit (515ij) and with an ancillary qubit (550ij). The method includes initializing the quantum system in an initial quantum state. The method includes, for each configuration of a number of configurations taken from the training data set, encoding the configuration in input qubits that form a subset of the set of primary qubits. The method includes, for each configuration of the number of configurations, performing N rounds of operations. Each round includes applying a sequence of unitary operators acting on at least a portion of the quantum system, and performing a measurement of at least a portion of the quantum system. The method includes performing a measurement of one or more ancillary qubits. The method includes, based at least on the measurement of the one or more ancillary qubits, determining at least one weight of a connection of the plurality of connections.

IPC Classes  ?

• G06N 3/04 - Architecture, e.g. interconnection topology
• G06N 3/08 - Learning methods
• G06N 10/00 - Quantum computing, i.e. information processing based on quantum-mechanical phenomena

Abstract

1234123ijij1234123ijijijijij). The method includes initializing the quantum system in an initial quantum state. The method includes, for each configuration of a number of configurations taken from the training data set, encoding the configuration in input qubits that form a subset of the set of primary qubits. The method includes, for each configuration of the number of configurations, performing N rounds of operations. Each round includes applying a sequence of unitary operators acting on at least a portion of the quantum system, and performing a measurement of at least a portion of the quantum system. The method includes performing a measurement of one or more ancillary qubits. The method includes, based at least on the measurement of the one or more ancillary qubits, determining at least one weight of a connection of the plurality of connections.

IPC Classes  ?

• G06N 3/04 - Architecture, e.g. interconnection topology
• G06N 3/08 - Learning methods
• G06N 10/00 - Quantum computing, i.e. information processing based on quantum-mechanical phenomena

Abstract

According to an embodiment, a method of determining a quantum operation control layout for a quantum computation on a quantum system is provided. The quantum computation is to be carried out on constituents of the quantum system arranged in accordance with a mesh. Vertices of the mesh represent possible sites for the constituents of the quantum system. Each cell of the mesh indicates that quantum interactions between constituents of the quantum system arranged in that cell are possible during the quantum computation. The method includes providing a data set including data representing hyperedges of a hypergraph. The method includes determining a set of generalized cycles. The generalized cycles contain hyperedges of the hypergraph or contain hyperedges of an enlarged hypergraph. The enlarged hypergraph at least includes the hyperedges of the hypergraph and an additional hyperedge. Therein, a maximal length of generalized cycles of the set of generalized cycles is not greater than a maximal vertex number of the cells of the mesh. The method includes determining a mesh mapping that maps data representing the hyperedges of the hypergraph or of the enlarged hypergraph to the vertices of the mesh. Therein, each generalized cycle of a constraining subset of the set of generalized cycles consists of hyperedges mapped to a cell of the mesh. The method includes generating the quantum operation control layout. The quantum operation control layout includes data indicating layout vertices of the mesh. Each layout vertex corresponds to a hyperedge mapped according to the mesh mapping. The layout includes data indicating layout vertex sets. Each layout vertex set consists of layout vertices within a cell of the mesh that correspond to a generalized cycle of the constraining subset of generalized cycles.

IPC Classes  ?

• G06F 30/392 - Floor-planning or layout, e.g. partitioning or placement
• G06N 5/00 - Computing arrangements using knowledge-based models
• G06N 5/02 - Knowledge representationSymbolic representation
• G06N 10/00 - Quantum computing, i.e. information processing based on quantum-mechanical phenomena

Abstract

According to an embodiment, a method of determining a quantum operation control layout for a quantum computation on a quantum system is provided. The quantum computation is to be carried out on constituents of the quantum system arranged in accordance with a mesh. Vertices of the mesh represent possible sites for the constituents of the quantum system. Each cell of the mesh indicates that quantum interactions between constituents of the quantum system arranged in that cell are possible during the quantum computation. The method includes providing a data set including data representing hyperedges of a hypergraph. The method includes determining a set of generalized cycles. The generalized cycles contain hyperedges of the hypergraph or contain hyperedges of an enlarged hypergraph. The enlarged hypergraph at least includes the hyperedges of the hypergraph and an additional hyperedge. Therein, a maximal length of generalized cycles of the set of generalized cycles is not greater than a maximal vertex number of the cells of the mesh. The method includes determining a mesh mapping that maps data representing the hyperedges of the hypergraph or of the enlarged hypergraph to the vertices of the mesh. Therein, each generalized cycle of a constraining subset of the set of generalized cycles consists of hyperedges mapped to a cell of the mesh. The method includes generating the quantum operation control layout. The quantum operation control layout includes data indicating layout vertices of the mesh. Each layout vertex corresponds to a hyperedge mapped according to the mesh mapping. The layout includes data indicating layout vertex sets. Each layout vertex set consists of layout vertices within a cell of the mesh that correspond to a generalized cycle of the constraining subset of generalized cycles.

IPC Classes  ?

• G06N 10/00 - Quantum computing, i.e. information processing based on quantum-mechanical phenomena
• G06F 30/392 - Floor-planning or layout, e.g. partitioning or placement
• G06N 5/00 - Computing arrangements using knowledge-based models
• G06N 5/02 - Knowledge representationSymbolic representation

Abstract

A method of computing a solution to a computational problem use a quantum system comprising a plurality of qubits. The computational problem is encoded into a problem Hamiltonian being a single-body Hamiltonian comprising a plurality of adjustable parameters. The encoding comprises determining, from the computational problem, a problem-encoding configuration for the plurality of adjustable parameters. An initial Hamiltonian is evolved into a final Hamiltonian via an intermediate Hamiltonian. The intermediate Hamiltonian is a linear combination of the initial Hamiltonian, the final Hamiltonian and a first short-range Hamiltonian. The final Hamiltonian is the sum of the problem Hamiltonian and a second short-range Hamiltonian. The second shortrange Hamiltonian is a d-body Hamiltonian with d independent of the computational problem. At least a portion of the plurality of qubits is measured to obtain a read-out. A solution to the computational problem is determined from the read-out.

IPC Classes  ?

• G06N 10/00 - Quantum computing, i.e. information processing based on quantum-mechanical phenomena

Abstract

A method of computing a solution to a computational problem (452) using a quantum system (420) comprising a plurality of qubits (100) is provided. The method includes encoding the computational problem into a problem Hamiltonian (482) of the quantum system, wherein the problem Hamiltonian is a single-body Hamiltonian comprising a plurality of adjustable parameters, and wherein the encoding comprises determining, from the computational problem, a problem-encoding configuration for the plurality of adjustable parameters. The method includes evolving an initial Hamiltonian (460) of the quantum system at an initial time (46) into a final Hamiltonian (480) of the quantum system at a final time (48) via an intermediate Hamiltonian (470) of the quantum system at an intermediate time (47), wherein the intermediate time is between the initial time and the final time. The intermediate Hamiltonian is a linear combination of the initial Hamiltonian, the final Hamiltonian and a first short-range Hamiltonian (475). The final Hamiltonian is the sum of the problem Hamiltonian and a second short-range Hamiltonian (484), wherein the plurality of adjustable parameters of the problem Hamiltonian are in the problem-encoding configuration, wherein the second short-range Hamiltonian is a d-body Hamiltonian and d is independent of the computational problem. The method includes measuring at least a portion (420) of the plurality of qubits to obtain a read-out of the quantum system. The method includes determining a solution to the computational problem from the read-out.

IPC Classes  ?

• G06N 10/00 - Quantum computing, i.e. information processing based on quantum-mechanical phenomena
• G06N 5/00 - Computing arrangements using knowledge-based models

Goods & Services

Software for quantum computing; computer software for creating, analysing and running quantum programs and quantum algorithms; computer software for quantum programming and for developing and testing quantum algorithms; downloadable computer software for developing quantum virtual machines (qvm); computer software for simulating quantum processes; computer operating systems for quantum computers; computer software for programming and running software on quantum computers; software for utilizing quantum computers in software applications; computer hardware for quantum programming and quantum computing; quantum detectors; quantum memories (computers); quantum sensors; quantum computers and processors for quantum computing; parts, components and fittings for quantum computers and for processors for quantum computing; quantum-based memories (computers); computer hardware for quantum communication systems; computer hardware for quantum cryptography systems; electronic publications, downloadable. Design and development of computer hardware and software relating to quantum computing, quantum programming, quantum algorithms, quantum information, quantum engineering and quantum technology; design and development of quantum computer hardware and software; consultancy and research in the field of quantum computing, quantum programming, quantum algorithms, quantum information, quantum engineering and quantum technology; scientific and technological services and research and design services relating thereto in the field of quantum computing, quantum programming, quantum algorithms, quantum information, quantum engineering and quantum technology; providing of non-downloadable online software for temporary use for creating, analysing and running programs for quantum computers and quantum algorithms and for quantum simulations; software as a service [saas], namely the providing of software for creating, analysing and running programs for quantum computers and quantum algorithms; provision of paas services (platform as a service), namely the providing of interfaces for programming applications (api) for others for creating, analysing and running programs for quantum computers and quantum algorithms; application service provider services, namely hosting of computer software applications for others for creating, analysing and running programs for quantum computers and quantum algorithms; the providing of development tools for computer software and equipment for the development of software for quantum programs and quantum algorithms; maintenance and updating of software relating to quantum computing, quantum programming, quantum algorithms, quantum information, quantum engineering and quantum technology.

Abstract

A method of performing a quantum computation includes providing a quantum system comprising qubits. A computational problem is encoded into a problem Hamiltonian of the quantum system. The problem Hamiltonian is a single-body Hamiltonian comprising a plurality of adjustable parameters. The encoding includes determining, from the computational problem, a problem-encoding configuration for the plurality of adjustable parameters. N rounds of operations are perfoinied. Each round includes determining a sequence of unitary operators, wherein each unitary operator in the sequence is a unitary operator being a unitary time evolution of the problem Hamiltonian or a unitary operator being a product of two or more short-range unitary operators. Each round includes evolving the quantum system by applying the sequence of unitary operators to the quantum system. Each round includes performing a measurement of one or more qubits. A result of the quantum computation is outputted.

IPC Classes  ?

• G06N 10/60 - Quantum algorithms, e.g. based on quantum optimisation, or quantum Fourier or Hadamard transforms

Goods & Services

(1) Software for quantum computing for creating, analysing and running programs for quantum computers and quantum computing algorithms; computer software for creating, analysing and running quantum programs and quantum algorithms; computer software for quantum programming and for developing and testing quantum algorithms; downloadable computer software for creating, analysing and running quantum computing programs and quantum computing algorithms for developing quantum virtual machines (qvm); computer software for creating, analysing and running programs for quantum computing simulations; computer operating systems for quantum computers; computer software for programming applications (api) for creating, analysing and running programs for quantum computers and quantum computing algorithms; software for operating applications (api) for creating, analysing and running programs for quantum computers and quantum computing algorithms; computer hardware for quantum programming and quantum computing; quantum detectors, namely measuring devices for high precision time and frequency measurements using the principles of quantum physics; quantum computing memories for use with quantum computers; quantum sensors, namely sensors for measuring gravitational, electric and magnetic fields using the principles of quantum physics; quantum computers; micro processors and digital/analog signal processors for quantum computing; quantum computers and micro processors for quantum computing, structural and replacement parts, components and fittings for quantum computers and for micro processors for quantum computing; quantum-based computer memories; computer hardware for quantum communication systems; computer hardware for quantum cryptography systems; downloadable electronic publications in the nature of books, magazines, journals, blogs (1) Design and development of computer hardware and software relating to quantum computing, quantum programming, quantum algorithms, quantum information, quantum engineering and quantum technology; design and development of quantum computer hardware and software; technical consultancy and scientific research in the field of quantum computing, quantum programming, quantum algorithms, quantum information and quantum engineering; scientific and technological research and design services in the field of quantum computing, quantum programming, quantum algorithms, quantum information and quantum engineering; providing of non-downloadable online software for temporary use for creating, analysing and running programs for quantum computers and quantum algorithms and for quantum simulations; software as a service [saas], namely the providing of software for creating, analysing and running programs for quantum computers and quantum algorithms; provision of paas services (platform as a service), namely the providing of interfaces for programming applications (api) for others for creating, analysing and running programs for quantum computers and quantum algorithms; application service provider services, namely hosting of computer software applications for others for creating, analysing and running programs for quantum computers and quantum algorithms; the providing of development tools for creating computer software and hardware for the development of software for creating, analysing and running programs for quantum computing programs and quantum computing algorithms; maintenance and updating of software relating to quantum computing, quantum programming, quantum algorithms, quantum information, quantum engineering and quantum technology

Goods & Services

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Goods & Services

Software for quantum computing; Computer software for creating, analysing and running quantum programs and quantum algorithms; Computer software for quantum programming and for developing and testing quantum algorithms; Downloadable computer software for developing quantum virtual machines (QVM); Computer software for simulating quantum processes; computer operating systems for quantum computers; computer software for programming and running software on quantum computers; software for utilizing quantum computers in software applications; computer hardware for quantum programming and quantum computing; Quantum detectors; Quantum memories (computers); Quantum sensors; Quantum computers and processors for quantum computing; Parts, components and fittings for quantum computers and for processors for quantum computing; Quantum-based memories (computers); Computer hardware for quantum communication systems; Computer hardware for quantum cryptography systems; Electronic publications, downloadable. Design and development of computer hardware and software relating to quantum computing, quantum programming, quantum algorithms, quantum information, quantum engineering and quantum technology; design and development of quantum computer hardware and software; Consultancy and research in the field of quantum computing, quantum programming, quantum algorithms, quantum information, quantum engineering and quantum technology; Scientific and technological services and research and design services relating thereto in the field of quantum computing, quantum programming, quantum algorithms, quantum information, quantum engineering and quantum technology; Providing of non-downloadable online software for temporary use for creating, analysing and running programs for quantum computers and quantum algorithms and for quantum simulations; Software as a service [SaaS], Namely the providing of software for creating, analysing and running programs for quantum computers and quantum algorithms; provision of PaaS services (platform as a service), Namely the providing of interfaces for programming applications (API) for others for creating, analysing and running programs for quantum computers and quantum algorithms; Application service provider services, Namely hosting of computer software applications for others for creating, analysing and running programs for quantum computers and quantum algorithms; The providing of development tools for computer software and equipment for the development of software for quantum programs and quantum algorithms; Maintenance and updating of software relating to quantum computing, quantum programming, quantum algorithms, quantum information, quantum engineering and quantum technology.

Abstract

A method of computing a solution to a computational problem using a quantum system comprising a plurality of qubits is provided. The method includes encoding the computational problem into a problem Hamiltonian of the quantum system, wherein the problem Hamiltonian is a single-body Hamiltonian including a plurality of adjustable parameters, and wherein the encoding includes determining, from the computational problem, a problem-encoding configuration for the plurality of adjustable parameters. The method further includes evolving the quantum system from an initial quantum state towards a ground state of a final Hamiltonian of the quantum system, wherein the final Hamiltonian is the sum of the problem Hamiltonian and a short-range Hamiltonian, wherein the plurality of adjustable parameters of the problem Hamiltonian are in the problem-encoding configuration and wherein the short-range Hamiltonian is a d-body Hamiltonian, wherein d is independent of the computational problem. The method further includes measuring at least a portion of the plurality of qubits to obtain a read-out of the quantum system. The method further includes determining a solution to the computational problem from the read-out.

IPC Classes  ?

• G06N 10/00 - Quantum computing, i.e. information processing based on quantum-mechanical phenomena

Abstract

A method of computing a solution to a computational problem using a quantum system comprising a plurality of qubits is provided. The method includes encoding the computational problem into a problem Hamiltonian of the quantum system, wherein the problem Hamiltonian is a single-body Hamiltonian including a plurality of adjustable parameters, and wherein the encoding includes determining, from the computational problem, a problem-encoding configuration for the plurality of adjustable parameters. The method further includes evolving the quantum system from an initial quantum state towards a ground state of a final Hamiltonian of the quantum system, wherein the final Hamiltonian is the sum of the problem Hamiltonian and a short-range Hamiltonian, wherein the plurality of adjustable parameters of the problem Hamiltonian are in the problem-encoding configuration and wherein the short- range Hamiltonian is a d-body Hamiltonian, wherein d is independent of the computational problem. The method further includes measuring at least a portion of the plurality of qubits to obtain a read-out of the quantum system. The method further includes determining a solution to the computational problem from the read-out.

IPC Classes  ?

• G06N 10/40 - Physical realisations or architectures of quantum processors or components for manipulating qubits, e.g. qubit coupling or qubit control
• G06N 10/60 - Quantum algorithms, e.g. based on quantum optimisation, or quantum Fourier or Hadamard transforms