Emergent Randomness and Benchmarking from Many-Body Quantum Chaos

POSTER

Abstract

In this work we find experimental signatures of random quantum state ensembles emerging from evolution with only a global, time-independent Hamiltonian, and use these ensembles to realize a new device benchmarking scheme applicable to both analog and digital quantum simulators. Specifically, we find that measurement results associated with small subsystems exhibit signatures of random state ensembles appearing after chaotic quantum many-body dynamics. This phenomenon turns out to be universal in a wide variety of quantum platforms, enabling the benchmarking of quantum device fidelity with significantly reduced experimental complexity, which we demonstrate using a Rydberg quantum simulator.

*This work was supported by the Institute for Quantum Information and Matter, an NSF Physics Frontiers Center (NSF Grant PHY-1733907), the NSF CAREER award (1753386), the AFOSR YIP (FA9550-19-1-0044), the DARPA ONISQ program (W911NF2010021), the Army Research Office MURI program (W911NF2010136), the NSF QLCI program (2016245), and the DOE (DE-SC0012567).

Publication: https://arxiv.org/abs/2103.03535; https://arxiv.org/abs/2103.03536

Presenters

  • Adam L Shaw

    • Caltech

Authors

  • Adam L Shaw

    • Caltech

  • Joonhee Choi

    • Caltech

  • Ivaylo S Madjarov

    • Caltech

  • Xin Xie

    • Caltech
    • University of Colorado, Boulder

  • Jacob P Covey

    • Caltech

  • Jordan Cotler

    • Harvard
    • Harvard University

  • Daniel Mark

    • MIT

  • Hsin-Yuan Huang

    • Caltech

  • Anant Kale

    • Caltech
    • Harvard University

  • Hannes Pichler

    • Caltech
    • University of Innsbruck

  • Fernando Brandao

    • Caltech

  • Soonwon Choi

    • University of California, Berkeley

  • Manuel Endres

    • Caltech