PERFORMING UNITARY ITERATION AND INDEXED OPERATIONS

    公开(公告)号:US20250148331A1

    公开(公告)日:2025-05-08

    申请号:US19014781

    申请日:2025-01-09

    Applicant: Google LLC

    Abstract: Methods, systems and apparatus for performing indexed operations using a unary iteration quantum circuit. In one aspect, a method includes encoding an index value in an index register comprising index qubits; encoding the index value in a control register comprising multiple control qubits; and repeatedly computing and uncomputing the control qubits to perform, conditioned on the state of the control qubits, the operation on one or more target qubits corresponding to the index value, wherein during the encoding, computing and uncomputing: the multiple control qubits are made available in sequence, and the multiple control qubits correspond to a one-hot encoding of the encoded index value.

    Error corrected variational algorithms

    公开(公告)号:US12204990B2

    公开(公告)日:2025-01-21

    申请号:US18499879

    申请日:2023-11-01

    Applicant: Google LLC

    Abstract: Methods, systems and apparatus for approximating a target quantum state that is defined as a result of applying a specific rotation operation to an initial quantum state. A method includes determining multiple configurations of T-gates. Each configuration of T-gates includes a number of T-gates that is less than or equal to a predefined total number of T-gates and represents a rotation operation that, when applied to the initial quantum state, produces an evolved quantum state that is an approximation of the target quantum state. A configuration of T-gates that represents a rotation operation with a rotation angle that is closest to a rotation angle of the specific rotation operation is selected from the multiple configurations of T-gates. A rotation operation represented by the selected configuration of T-gates is applied to the initial quantum state to obtain the approximation of the target quantum state.

    Training quantum evolutions using sublogical controls

    公开(公告)号:US12175330B2

    公开(公告)日:2024-12-24

    申请号:US18448734

    申请日:2023-08-11

    Applicant: Google LLC

    Abstract: Methods, systems, and apparatus for training quantum evolutions using sub-logical controls. In one aspect, a method includes the actions of accessing quantum hardware, wherein the quantum hardware includes a quantum system comprising one or more multi-level quantum subsystems; one or more control devices that operate on the one or more multi-level quantum subsystems according to one or more respective control parameters that relate to a parameter of a physical environment in which the multi-level quantum subsystems are located; initializing the quantum system in an initial quantum state, wherein an initial set of control parameters form a parameterization that defines the initial quantum state; obtaining one or more quantum system observables and one or more target quantum states; and iteratively training until an occurrence of a completion event.

    Efficient fault-tolerant trotter simulation of molecular hamiltonians

    公开(公告)号:US12175328B2

    公开(公告)日:2024-12-24

    申请号:US17276668

    申请日:2019-08-13

    Applicant: Google LLC

    Abstract: Methods, systems and apparatus for determining properties of a physical system described by an electronic structure Hamiltonian. In one aspect, a Hamiltonian describing the physical system is transformed into a qubit Hamiltonian describing a corresponding system of qubits. The qubit Hamiltonian comprises multiple two-qubit interaction terms, each comprising a respective translation invariant coefficient. The system of qubits is evolved under a unitary operator generated by the multiple two-qubit interaction terms. The evolution includes applying layers of quantum logic gates to the system of qubits, wherein each application of a layer evolves the system of qubits under a unitary operator generated by a respective subset of the multiple two-qubit interaction terms and wherein the value of the coefficients of the subset of the multiple two-qubit interaction terms that generate the unitary operator is constant. The evolved system of qubits is measured and properties of the physical system is determined.

    Variational quantum state preparation

    公开(公告)号:US12008433B2

    公开(公告)日:2024-06-11

    申请号:US16967339

    申请日:2019-08-07

    Applicant: Google LLC

    CPC classification number: G06N10/00 G06F15/16

    Abstract: Methods, systems and apparatus for performing quantum state preparation. In one aspect, a method includes the actions of defining a target quantum state of a quantum system, wherein time evolution of the quantum system is governed by a target Hamiltonian, and defining a total Hamiltonian that interpolates between an initial Hamiltonian and the target Hamiltonian, wherein the total Hamiltonian is equal to the initial Hamiltonian at an initial time and is equal to the target Hamiltonian at a final time; approximating the time evolution of the total Hamiltonian using a truncated linear combination of unitary simulations to generate a truncated time evolution operator; evolving a ground state of the initial Hamiltonian according to the truncated time evolution operator for a truncated number of time steps to generate an intermediate state; and variationally adjusting the intermediate state to determine a wavefunction that approximates the target quantum state of the quantum system.

    Training quantum evolutions using sublogical controls

    公开(公告)号:US11763187B2

    公开(公告)日:2023-09-19

    申请号:US18147144

    申请日:2022-12-28

    Applicant: Google LLC

    CPC classification number: G06N10/00 G06F15/16 G06N20/00 B82Y10/00

    Abstract: Methods, systems, and apparatus for training quantum evolutions using sub-logical controls. In one aspect, a method includes the actions of accessing quantum hardware, wherein the quantum hardware includes a quantum system comprising one or more multi-level quantum subsystems; one or more control devices that operate on the one or more multi-level quantum subsystems according to one or more respective control parameters that relate to a parameter of a physical environment in which the multi-level quantum subsystems are located; initializing the quantum system in an initial quantum state, wherein an initial set of control parameters form a parameterization that defines the initial quantum state; obtaining one or more quantum system observables and one or more target quantum states; and iteratively training until an occurrence of a completion event.

    TECHNIQUES FOR OBTAINING ACCURATE DIAGONAL ELECTRONIC STRUCTURE HAMILTONIANS

    公开(公告)号:US20210035009A1

    公开(公告)日:2021-02-04

    申请号:US16976229

    申请日:2018-08-10

    Applicant: Google LLC

    Abstract: Methods, systems and apparatus for simulating a physical system described by an electronic structure Hamiltonian expressed in an orthonormal basis. In one aspect, a method includes decomposing the electronic structure Hamiltonian into a sum of sub-Hamiltonians, wherein each sub-Hamiltonian in the sum of sub-Hamiltonians is expressed in one of multiple bases; simulating evolution of the physical system using the decomposed electronic structure Hamiltonian; and using the simulated evolution of the physical system using the decomposed electronic structure Hamiltonian to determine properties of the physical system.

    QUANTUM PHASE ESTIMATION OF MULTIPLE EIGENVALUES

    公开(公告)号:US20200234176A1

    公开(公告)日:2020-07-23

    申请号:US16841320

    申请日:2020-04-06

    Applicant: Google LLC

    Abstract: Methods, systems, and apparatus for quantum phase estimation. In one aspect, an apparatus includes a quantum circuit comprising a first quantum register comprising at least one ancilla qubit, quantum gates, comprising at least (i) two Hadamard gates, (ii) a phase gate, (iii) a unitary operator, and (iv) a measurement operator, a second quantum register comprising one or more qubits, wherein the second quantum register is prepared in an arbitrary quantum state that is not an eigenstate of the unitary operator; and a phase learning system, configured to perform phase estimation experiments on the quantum circuit, comprising repeatedly measuring the state of an ancilla qubit for each phase estimation experiment to determine an expectation value of the state of the ancilla qubit and learn phases of the eigenvalues of the unitary operator.

    Training quantum evolutions using sublogical controls

    公开(公告)号:US10275717B2

    公开(公告)日:2019-04-30

    申请号:US15171778

    申请日:2016-06-02

    Applicant: Google LLC

    Abstract: Methods, systems, and apparatus for training quantum evolutions using sub-logical controls. In one aspect, a method includes the actions of accessing quantum hardware, wherein the quantum hardware includes a quantum system comprising one or more multi-level quantum subsystems; one or more control devices that operate on the one or more multi-level quantum subsystems according to one or more respective control parameters that relate to a parameter of a physical environment in which the multi-level quantum subsystems are located; initializing the quantum system in an initial quantum state, wherein an initial set of control parameters form a parameterization that defines the initial quantum state; obtaining one or more quantum system observables and one or more target quantum states; and iteratively training until an occurrence of a completion event.

    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.

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