SQUID-Based Kerr Cat Qubit: Theory and Lifetime Analysis

ORAL

Abstract

Kerr cat qubits are bosonic qubits encoded in a parametrically driven superconducting nonlinear oscillator. They have been studied widely using driven SNAIL transmon. We investigate an alternate design for the Kerr cat qubit, namely flux driven SQUIDs. We perform the circuit analysis and derive the Lindblad master equation for the Kerr cat qubit attached to a thermal environment. We find that the SQUID-based Kerr cat qubits have lifetimes comparable to that of SNAIL-based Kerr cat qubits for intermediate cat sizes. The SQUID-based Kerr cat qubits also have the additional benefit of being resistant against higher order photon dissipation effects. We also examine the effect of strong flux driving and asymmetric Josephson junctions on the lifetime of the qubit.

* Research was sponsored by the Army Research Office and was accomplished under Grant Number W911NF-23-1-0323. The views and conclusions contained in this document are those of the authors and should not be interpreted as representing the official policies, either expressed or implied, of the Army Research Office or the U.S. Government.

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Presenters

  • Irwin Huang

    University of Rochester

Authors

  • Irwin Huang

    University of Rochester

  • Bibek Bhandari

    Institute for Quantum Studies, Chapman University, Chapman University

  • KAGAN YANIK

    University of Rochester

  • AHMED HAJR

    University of California, Berkeley

  • Bingcheng Qing

    University of California, Berkeley

  • Ke Wang

    University of California, Berkeley, UC Berkeley

  • Justin G Dressel

    Chapman Univ, Chapman University

  • Andrew N Jordan

    Chapman University

  • David I Santiago

    Lawrence Berkeley National Laboratory

  • Irfan Siddiqi

    University of California, Berkeley