Linear cross-entropy in random circuits

ORAL

Abstract



Demonstrations of quantum computational advantage and benchmarks of quantum processors via quantum random circuit sampling are based on evaluating the linear cross-entropy benchmark (XEB). We study the behavior of XEB and fidelity using a mapping of average quantities in random quantum circuits to statistical mechanics models. The average value of XEB is shown to be sensitive only to the infidelity of the noisy gates while fluctuations reveal more.

*"B.W. was supported in part by the DoE ASCR Accelerated Research in Quantum Computing program (award No.~DE-SC0020312)."

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Publication: https://arxiv.org/abs/2305.04954

Presenters

  • Brayden A Ware

    • University of Maryland, College Park

Authors

  • Brayden A Ware

    • University of Maryland, College Park

  • Abhinav Deshpande

    • IBM

  • Dominik Hangleiter

    • University of Maryland

  • Bill Fefferman

    • University of Chicago

  • Alexey V Gorshkov

    • University of Maryland
    • Joint Quantum Institute and Joint Center for Quantum Information and Computer Science, University of Maryland and NIST
    • Joint Center for Quantum Information and Computer Science (QuICS)

  • Michael J Gullans

    • Joint Center for Quantum Information and Computer Science
    • Joint Center for Quantum Information and Computer Science, University of Maryland and NIST
    • Joint Center for Quantum Information and Computer Science (QuICS)