Floquet Quantum Simulation with Superconducting Qubits

Oleksandr Kyriienko; Anders Søndberg Sørensen

doi:10.1103/PhysRevApplied.9.064029

Floquet Quantum Simulation with Superconducting Qubits

Oleksandr Kyriienko, Anders Søndberg Sørensen

Kvanteoptik

17 Citationer (Scopus)

Abstract

We propose a quantum algorithm for simulating spin models based on the periodic modulation of transmon qubits. Using the Floquet theory, we derive an effective time-averaged Hamiltonian, which is of the general XYZ class, different from the isotropic XY Hamiltonian typically realized by the physical setup. As an example, we provide a simple recipe to construct a transverse Ising Hamiltonian in the Floquet basis. For a 1D system, we demonstrate numerically the dynamical simulation of the transverse Ising Hamiltonian and quantum annealing to its ground state. We benchmark the Floquet approach with a digital simulation procedure and demonstrate that it is advantageous for limited resources and finite anharmonicity of the transmons. The described protocol represents a hardware-efficient quantum software and can serve as a simple yet reliable path towards configurable quantum simulators with currently existing superconducting chips.

Originalsprog	Engelsk
Artikelnummer	064029
Tidsskrift	Physical Review Applied
Vol/bind	9
Antal sider	17
ISSN	2331-7019
DOI	https://doi.org/10.1103/PhysRevApplied.9.064029
Status	Udgivet - 19 jun. 2018

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10.1103/PhysRevApplied.9.064029

PhysRevApplied.9.064029Forlagets udgivne version, 844 KB

https://arxiv.org/pdf/1703.04827.pdfLicens: Andet

Citationsformater

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N2 - We propose a quantum algorithm for simulating spin models based on the periodic modulation of transmon qubits. Using the Floquet theory, we derive an effective time-averaged Hamiltonian, which is of the general XYZ class, different from the isotropic XY Hamiltonian typically realized by the physical setup. As an example, we provide a simple recipe to construct a transverse Ising Hamiltonian in the Floquet basis. For a 1D system, we demonstrate numerically the dynamical simulation of the transverse Ising Hamiltonian and quantum annealing to its ground state. We benchmark the Floquet approach with a digital simulation procedure and demonstrate that it is advantageous for limited resources and finite anharmonicity of the transmons. The described protocol represents a hardware-efficient quantum software and can serve as a simple yet reliable path towards configurable quantum simulators with currently existing superconducting chips.

AB - We propose a quantum algorithm for simulating spin models based on the periodic modulation of transmon qubits. Using the Floquet theory, we derive an effective time-averaged Hamiltonian, which is of the general XYZ class, different from the isotropic XY Hamiltonian typically realized by the physical setup. As an example, we provide a simple recipe to construct a transverse Ising Hamiltonian in the Floquet basis. For a 1D system, we demonstrate numerically the dynamical simulation of the transverse Ising Hamiltonian and quantum annealing to its ground state. We benchmark the Floquet approach with a digital simulation procedure and demonstrate that it is advantageous for limited resources and finite anharmonicity of the transmons. The described protocol represents a hardware-efficient quantum software and can serve as a simple yet reliable path towards configurable quantum simulators with currently existing superconducting chips.

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Floquet Quantum Simulation with Superconducting Qubits

Abstract

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