Floquet theory for effective gate Hamiltonian and crosstalk in a tunable coupling superconducting circuit

ORAL

Abstract

The realization of high-fidelity quantum gates involves a multitude of parameters governing important properties of the system, such as the gate rate, leakage and the extent of spurious interactions. One therefore needs to carefully choose these parameters to optimize the gate fidelity and speed. Numerically, this can be a resource intensive process as it implies simulating the gate dynamics for each set of device parameters. Here, we present a method to extract the interaction rates directly from Floquet spectrum generated by the drive without having to run dynamical simulations. We apply this technique to a two-qubit entangling parametric gate to optimize the device parameters in order to cancel the static ZZ interaction and minimize the gate time. We show that our method agrees with unitary dynamics simulations and perturbation theory.

*This work was undertaken thanks in part to funding from NSERC, the Canada First Research Excellence Fund, the ARO grant No. W911NF-18-1-0411, the ARO HIPS (W911NF1910016) and NSF EPIQC (CCF-1730082).

Presenters

  • Camille Le Calonnec

    • Universite de Sherbrooke

Authors

  • Camille Le Calonnec

    • Universite de Sherbrooke
  • Alexandru Petrescu

    • Universite de Sherbrooke
    • Université de Sherbrook
  • Agustin Di Paolo

    • Physics, Universite de Sherbrooke
    • Universite de Sherbrooke
    • Département de Physique, Université de Sherbrooke
    • Institut quantique & Departement de Physique, Universite de Sherbrooke
  • Catherine Leroux

    • Universite de Sherbrooke
    • Département de Physique, Université de Sherbrooke
  • Pranav Mundada

    • Princeton University
    • Q-CTRL
    • Department of Electrical Engineering, Princeton University
  • Andrei Vrajitoarea

    • Princeton University
    • University of Chicago
  • Alexander Place

    • Princeton University
  • Andrew Houck

    • Princeton University
    • Department of Electrical Engineering, Princeton University
  • Alexandre Blais

    • Universite de Sherbrooke
    • Institut Quantique and Département de Physique, Université de Sherbrooke
    • Physics, Universite de Sherbrooke
    • Université de Sherbrook
    • Université de Sherbrooke
    • Département de Physique, Université de Sherbrooke
    • Institut quantique & Departement de Physique, Universite de Sherbrooke
    • Institut quantique and Departement de physique, Universite de Sherbrooke
    • Institut Quantique and Department de Physique, Universite de Sherbrooke
    • Institut quantique and Departement de Physique, Universite de Sherbrooke