Floquet quantum simulation with superconducting qubits

Oleksandr Kyriienko; Anders S. Sørensen

doi:10.1103/physrevapplied.9.064029

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arXiv · 1703.04827

Floquet quantum simulation with superconducting qubits

Oleksandr Kyriienko·Anders S. Sørensen

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Abstract

We propose a quantum algorithm for simulating spin models based on periodic modulation of transmon qubits. Using Floquet theory we derive an effective time-averaged Hamiltonian, which is of the general XYZ class, different from the isotropic XY Hamiltonian typically realised 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 can serve as a simple yet reliable path towards configurable quantum simulators with currently existing superconducting chips.

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BibTeX RIS

Oleksandr Kyriienko, Anders S. Sørensen. 2017-03-14. Floquet quantum simulation with superconducting qubits. https://doi.org/10.1103/physrevapplied.9.064029

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