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公开(公告)号:US20240014829A1
公开(公告)日:2024-01-11
申请号:US18473041
申请日:2023-09-22
Applicant: Google LLC
Inventor: Jarrod Ryan McClean , Ryan Babbush , Zhang Jiang
CPC classification number: H03M13/1575 , G06N10/00
Abstract: Methods, systems and apparatus for correcting a result of a quantum computation. In one aspect, a method includes selecting a quantum error correcting code for the quantum computation, wherein the quantum error correcting code is defined by multiple stabilizer generators; determining a set of symmetry operators, comprising: selecting a subset of the stabilizer generators, determining, for each selected stabilizer generator, a sum between an identity operator and the stabilizer generator, and multiplying the determined sums together to form a summation of terms, wherein each term in the summation is equal to a respective symmetry operator; measuring a projective correction of a physical observable over an output quantum state of the quantum computation using the determined set of symmetry operators, wherein the physical observable corresponds to the result of the quantum computation; and determining a corrected result of the quantum computation using the measured projective correction of the physical observable.
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公开(公告)号:US11550872B1
公开(公告)日:2023-01-10
申请号:US17071316
申请日:2020-10-15
Applicant: Google LLC
Inventor: Zhang Jiang
Abstract: Quantum computing systems and methods are provided. In one example, a quantum computing system includes a quantum system having one or more quantum system qubits and one or more ancilla qubits. The quantum computing system includes one or more quantum gates implemented by the quantum computing system. The quantum gate(s) are operable to configure the one or more ancilla qubits into a known state. The quantum computing system includes a quantum measurement circuit operable to perform a plurality of measurements on the one or more quantum system qubits using the one or more ancilla qubits. The quantum computing system includes one or more processors operable to determine a reduced density matrix for a subset of the quantum system based on a set of the plurality of measurements that include a number of repeated measurements performed using the quantum measurement circuit.
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公开(公告)号:US12261627B2
公开(公告)日:2025-03-25
申请号:US18473029
申请日:2023-09-22
Applicant: Google LLC
Inventor: Jarrod Ryan McClean , Ryan Babbush , Zhang Jiang
Abstract: Methods, systems and apparatus for correcting a result of a quantum computation. In one aspect, a method includes selecting a quantum error correcting code for the quantum computation, wherein the quantum error correcting code is defined by multiple stabilizer generators; determining a set of symmetry operators, comprising: selecting a subset of the stabilizer generators, determining, for each selected stabilizer generator, a sum between an identity operator and the stabilizer generator, and multiplying the determined sums together to form a summation of terms, wherein each term in the summation is equal to a respective symmetry operator; measuring a projective correction of a physical observable over an output quantum state of the quantum computation using the determined set of symmetry operators, wherein the physical observable corresponds to the result of the quantum computation; and determining a corrected result of the quantum computation using the measured projective correction of the physical observable.
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公开(公告)号:US12086685B2
公开(公告)日:2024-09-10
申请号:US17296160
申请日:2019-12-17
Applicant: Google LLC
Inventor: Zhang Jiang , Ryan Babbush , Jarrod Ryan McClean
Abstract: Methods, systems and apparatus for error correction of fermionic quantum simulation. In one aspect, a method includes representing a fermionic system as a graph of vertices and edges, where each vertex represents a fermionic system fermionic mode and each edge represents an interaction between two respective fermionic modes; allocating a qubit to each edge in the graph to form a qubit system; determining qubit operators that satisfy a set of fermionic commutation and dependence relations, where the qubit operators are non-uniform with respect to the graph vertices; determining stabilizer operators corresponding to products of quadratic Majorana operators on respective loops in the graph, where a common eigenspace of the defined stabilizer operators defines a code subspace that encodes states of the fermionic system to be simulated; and simulating the fermionic system by evolving the qubit system under a qubit Hamiltonian that includes the determined qubit operators and stabilizer operators.
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公开(公告)号:US20230205840A1
公开(公告)日:2023-06-29
申请号:US18150859
申请日:2023-01-06
Applicant: Google LLC
Inventor: Zhang Jiang
Abstract: Quantum computing systems and methods are provided. In one example, a quantum computing system includes a quantum system having one or more quantum system qubits and one or more ancilla qubits. The quantum computing system includes one or more quantum gates implemented by the quantum computing system. The quantum gate(s) are operable to configure the one or more ancilla qubits into a known state. The quantum computing system includes a quantum measurement circuit operable to perform a plurality of measurements on the one or more quantum system qubits using the one or more ancilla qubits. The quantum computing system includes one or more processors operable to determine a reduced density matrix for a subset of the quantum system based on a set of the plurality of measurements that include a number of repeated measurements performed using the quantum measurement circuit.
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公开(公告)号:US20210271477A1
公开(公告)日:2021-09-02
申请号:US17257895
申请日:2019-07-03
Applicant: Google LLC
Inventor: Zhang Jiang , Ryan Babbush
Abstract: Methods, systems and apparatus for preparing arbitrary superposition quantum states of a quantum register on a quantum computer, the quantum state comprising a superposition of L computational basis states. In one aspect, a register of log L qubits is prepared in a weighted sum of register basis states, where each register basis state indexes a corresponding quantum state computational basis state, and the amplitude of each register basis state in the weighted sum of register basis states is equal to the amplitude of the corresponding computational basis state in the superposition of L computational basis states. A unitary transformation that maps the register basis states to the corresponding L computational basis states is then implemented, including, for each index 1 to L, controlling, by the register of log L qubits, transformation of the quantum system register state for the index to the corresponding computational basis state for the index.
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公开(公告)号:US12299538B2
公开(公告)日:2025-05-13
申请号:US17257895
申请日:2019-07-03
Applicant: Google LLC
Inventor: Zhang Jiang , Ryan Babbush
Abstract: Methods, systems and apparatus for preparing arbitrary superposition quantum states of a quantum register on a quantum computer, the quantum state comprising a superposition of L computational basis states. In one aspect, a register of log L qubits is prepared in a weighted sum of register basis states, where each register basis state indexes a corresponding quantum state computational basis state, and the amplitude of each register basis state in the weighted sum of register basis states is equal to the amplitude of the corresponding computational basis state in the superposition of L computational basis states. A unitary transformation that maps the register basis states to the corresponding L computational basis states is then implemented, including, for each index 1 to L, controlling, by the register of log L qubits, transformation of the quantum system register state for the index to the corresponding computational basis state for the index.
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公开(公告)号:US12210936B2
公开(公告)日:2025-01-28
申请号:US18473041
申请日:2023-09-22
Applicant: Google LLC
Inventor: Jarrod Ryan McClean , Ryan Babbush , Zhang Jiang
Abstract: Methods, systems and apparatus for correcting a result of a quantum computation. In one aspect, a method includes selecting a quantum error correcting code for the quantum computation, wherein the quantum error correcting code is defined by multiple stabilizer generators; determining a set of symmetry operators, comprising: selecting a subset of the stabilizer generators, determining, for each selected stabilizer generator, a sum between an identity operator and the stabilizer generator, and multiplying the determined sums together to form a summation of terms, wherein each term in the summation is equal to a respective symmetry operator; measuring a projective correction of a physical observable over an output quantum state of the quantum computation using the determined set of symmetry operators, wherein the physical observable corresponds to the result of the quantum computation; and determining a corrected result of the quantum computation using the measured projective correction of the physical observable.
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公开(公告)号:US20250030440A1
公开(公告)日:2025-01-23
申请号:US18473029
申请日:2023-09-22
Applicant: Google LLC
Inventor: Jarrod Ryan McClean , Ryan Babbush , Zhang Jiang
Abstract: Methods, systems and apparatus for correcting a result of a quantum computation. In one aspect, a method includes selecting a quantum error correcting code for the quantum computation, wherein the quantum error correcting code is defined by multiple stabilizer generators; determining a set of symmetry operators, comprising: selecting a subset of the stabilizer generators, determining, for each selected stabilizer generator, a sum between an identity operator and the stabilizer generator, and multiplying the determined sums together to form a summation of terms, wherein each term in the summation is equal to a respective symmetry operator; measuring a projective correction of a physical observable over an output quantum state of the quantum computation using the determined set of symmetry operators, wherein the physical observable corresponds to the result of the quantum computation; and determining a corrected result of the quantum computation using the measured projective correction of the physical observable.
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公开(公告)号:US20240220836A1
公开(公告)日:2024-07-04
申请号:US18401103
申请日:2023-12-29
Applicant: Google LLC
Inventor: Dripto Mazumdar Debroy , Vadim Smelyanskiy , Wojciech Jerzy Mruczkiewicz , Zhang Jiang , Élie Genois , Jonathan Arthur Gross
Abstract: Systems and methods for quantum computing devices are provided. In one example, a method may include preparing one or more qubits in a selected initial state of a set of initial states. The method may include implementing a first quantum circuit for n repetitions on the one or more qubits, the first quantum circuit comprising one or more quantum gates. The method may include implementing a second quantum circuit to map a state of the one or more qubits towards a target state, the second quantum circuit based on a unitary associated with the first quantum circuit. The method may include performing a measurement of the one or more qubits. The method may include determining a fidelity between the first quantum circuit and the unitary based at least in part on the measurement of the one or more qubits.
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