Floquet Quantum Simulation with Superconducting Qubits
Oleksandr Kyriienko, Anders S. Sørensen
DOI 10.1103/PhysRevApplied.9.064029 · Physical Review Applied
Active bibliographic source — not scientific approval
Bibliographic access preserves source history; it does not approve extracted materials or validate reported claims. Review warnings on each occurrence separately.
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.
Similar papers
Floquet engineering in superconducting circuits: from arbitrary spin-spin interactions to the Kitaev honeycomb model
similarity 0.92Mahdi Sameti & Michael J. Hartmann · 2018 · arXiv:1808.03176
Source status unknown — claims are unverified
Floquet engineering in superconducting circuits: From arbitrary spin-spin interactions to the Kitaev honeycomb model
similarity 0.89Mahdi Sameti & Michael J. Hartmann
Source status unknown — claims are unverified
Superconducting circuit probe for analog quantum simulators
similarity 0.87Liang-Hui Du et al.
Source status unknown — claims are unverified
Exploiting Dynamic Quantum Circuits in a Quantum Algorithm with Superconducting Qubits
similarity 0.87A. D. Córcoles et al.
Source status unknown — claims are unverified
Quantum Emulation of Molecular Force Fields: A Blueprint for a Superconducting Architecture
similarity 0.86Diego González Olivares et al.
Source status unknown — claims are unverified
Tunneling spectroscopy in superconducting circuit lattices
similarity 0.85Botao Du et al.
Source status unknown — claims are unverified