DECODING ERRORS USING QUANTUM SUBSPACE EXPANSION

    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

    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.

    Systems and methods for quantum tomography using an ancilla

    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.

    Decoding errors using quantum subspace expansion

    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

    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.

    Majorana loop stabilizer codes for error correction of fermionic quantum simulations

    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

    CPC classification number: G06N10/00 G06F15/16

    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.

    Systems and Methods for Quantum Tomography Using an Ancilla

    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

    CPC classification number: G06F17/16 G06N10/00

    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.

    PREPARING SUPERPOSITIONS OF COMPUTATIONAL BASIS STATES ON A QUANTUM COMPUTER

    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

    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.

    Preparing superpositions of computational basis states on a quantum computer

    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

    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.

    Decoding errors using quantum subspace expansion

    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

    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.

    DECODING ERRORS USING QUANTUM SUBSPACE EXPANSION

    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

    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.

    Measuring Quantum Gate Fidelity Relative to a Unitary

    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

    CPC classification number: G06N10/20 G06N10/40 G06N10/70

    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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