INCREASING REPRESENTATION ACCURACY OF QUANTUM SIMULATIONS WITHOUT ADDITIONAL QUANTUM RESOURCES

    公开(公告)号:US20220019931A1

    公开(公告)日:2022-01-20

    申请号:US17428189

    申请日:2020-02-14

    Applicant: Google LLC

    Abstract: Methods, systems and apparatus for simulating physical systems. In one aspect, a method includes the actions of selecting a first set of basis functions for the simulation, wherein the first set of basis functions comprises an active and a virtual set of orbitals; defining a set of expansion operators for the simulation, wherein expansion operators in the set of expansion operators approximate fermionic excitations in an active space spanned by the active set of orbitals and a virtual space spanned by the virtual set of orbitals; performing multiple quantum computations to determine a matrix representation of a Hamiltonian characterizing the system in a second set of basis functions, computing, using the determined matrix representation of the Hamiltonian, eigenvalues and eigenvectors of the Hamiltonian; and determining properties of the physical system using the computed eigenvalues and eigenvectors.

    MAJORANA LOOP STABILIZER CODES FOR ERROR CORRECTION OF FERMIONIC QUANTUM SIMULATIONS

    公开(公告)号:US20220019928A1

    公开(公告)日:2022-01-20

    申请号:US17296160

    申请日:2019-12-17

    Applicant: Google LLC

    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.

    ERROR CORRECTED VARIATIONAL ALGORITHMS

    公开(公告)号:US20210334691A1

    公开(公告)日:2021-10-28

    申请号:US17278137

    申请日:2018-09-25

    Applicant: Google LLC

    Abstract: Methods, systems and apparatus for approximating a target quantum state. In one aspect, a method for determining a target quantum state includes the actions of receiving data representing a target quantum state of a quantum system as a result of applying a quantum circuit to an initial quantum state of the quantum system; determining an approximate quantum circuit that approximates the specific quantum circuit by adaptively adjusting a number of T gates available to the specific quantum circuit; and applying the determined approximate quantum circuit to the initial quantum state to obtain an approximation of the target quantum state.

    EFFICIENT FAULT-TOLERANT TROTTER SIMULATION OF MOLECULAR HAMILTONIANS

    公开(公告)号:US20210272009A1

    公开(公告)日:2021-09-02

    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.

    FERMIONIC SIMULATION GATES
    45.
    发明申请

    公开(公告)号:US20200293937A1

    公开(公告)日:2020-09-17

    申请号:US16753070

    申请日:2017-10-02

    Applicant: Google LLC

    Inventor: Ryan Babbush

    Abstract: Methods, systems, and apparatus for simulating a physical system. In one aspect, a method includes transforming a Hamiltonian describing the physical system into a qubit Hamiltonian describing a corresponding system of qubits, the qubit Hamiltonian comprising a transformed kinetic energy operator; simulating evolution of the system of qubits under the qubit Hamiltonian, comprising simulating the evolution of the system of qubits under the transformed kinetic energy operator by applying a fermionic swap network to the system of qubits; and using the simulated evolution of the system of qubits under the qubit Hamiltonian to determine properties of the physical system.

    SIMULATING MATERIALS USING QUANTUM COMPUTATION

    公开(公告)号:US20200065439A1

    公开(公告)日:2020-02-27

    申请号:US16344112

    申请日:2016-11-10

    Applicant: Google LLC

    Abstract: Methods, systems, and apparatus for quantum simulation of materials. In one aspect, a method includes the actions of determining a physical system of interest, wherein the physical system comprises a plurality of unit cells; performing a quantum computation to approximate a ground state of the physical system in a region of one of the unit cells; and providing the approximated ground state of the physical system in the region of the unit cell as output.

    TRAINING QUANTUM EVOLUTIONS USING SUBLOGICAL CONTROLS

    公开(公告)号:US20190213495A1

    公开(公告)日:2019-07-11

    申请号:US16355293

    申请日:2019-03-15

    Applicant: Google LLC

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

    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.

    QUANTUM PHASE ESTIMATION OF MULTIPLE EIGENVALUES

    公开(公告)号:US20190019102A1

    公开(公告)日:2019-01-17

    申请号:US16067428

    申请日:2015-12-30

    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, a second quantum register comprising one or more qubits, wherein the second quantum register is prepared in a quantum state that is not an eigenstate of a unitary operator operating on the first and second quantum register; and a phase learning system, configured to learn phases of the eigenvalues of the unitary operator.

    Techniques for obtaining accurate diagonal electronic structure Hamiltonians

    公开(公告)号:US12265760B2

    公开(公告)日:2025-04-01

    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.

    Fidelity estimation for quantum computing systems

    公开(公告)号:US12229635B2

    公开(公告)日:2025-02-18

    申请号:US17574192

    申请日:2022-01-12

    Applicant: Google LLC

    Abstract: Methods and apparatus for estimating the fidelity of quantum hardware. In one aspect, a method includes accessing a set of quantum gates; sampling a subset of quantum gates from the set of quantum gates, wherein the subset of quantum gates defines a quantum circuit; applying the quantum circuit to a quantum system and performing measurements on the quantum system to determine output information of the quantum system; calculating output information of the quantum system based on application of the quantum circuit to the quantum system; and estimating a fidelity of the quantum circuit based on the determined output information and the calculated output information of the quantum system.

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