Repetition code under coherent dynamics and incoherent noise

ORAL

Abstract

Open quantum systems may undergo unitary evolution, dephasing by an environment, and monitoring by an observer. From the perspective of quantum error correction, these three types of evolution arise as coherent dynamics, incoherent noise, and check measurements. When the check measurements are weak (i.e. not fully projective), the corrupted phase resulting from the coherent dynamics alone may differ from that driven by incoherent noise. For example, the steady state under weak measurements and coherent dynamics can undergo a measurement-induced entanglement transition. Focusing on the steady-state dynamics of the 1d repetition code, we explore whether a "coherent-error corrupted" phase, distinct from the standard incoherent-error corrupted phase, survives in the presence of incoherent noise.

*This material is based upon work supported by the National Science Foundation (NSF) Graduate Research Fellowship Program under Grant No. 2139319 (J.H.) and by the Simons Collaboration on Ultra-Quantum Matter, which is a grant from the Simons Foundation (651457, M.P.A.F. and J.H.). S.Y. and M.P.A.F. are supported by a Quantum Interactive Dynamics grant from the William M. Keck Foundation. Y.B. is supported in part by grant NSF PHY-2309135 and the Gordon and Betty Moore Foundation Grant No. GBMF7392 to the Kavli Institute for Theoretical Physics (KITP). Y.L. was supported in part by the Gordon and Betty Moore Foundation's EPiQS Initiative through Grant GBMF8686 and by the Stanford Q-FARM Bloch Postdoctoral Fellowship in Quantum Science and Engineering. S.V. is partly supported as an Alfred P. Sloan Research Fellow. This research was also supported in part by the NSF under Grant No. NSF PHY-1748958 and NSF PHY-2309135, the Heising-Simons Foundation, and the Simons Foundation (216179, LB). Use was made of computational facilities purchased with funds from the NSF (CNS-1725797) and administered by the Center for Scientific Computing (CSC). The CSC is supported by the California NanoSystems Institute and the Materials Research Science and Engineering Center (MRSEC; NSF DMR 2308708) at UCSB.

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Presenters

  • Jacob Hauser

    • University of California, Santa Barbara

Authors

  • Jacob Hauser

    • University of California, Santa Barbara

  • Stephen W Yan

    • University of California, Santa Barbara

  • Yaodong Li

    • Stanford University

  • Yimu Bao

    • Kavli Institute for Theoretical Physics, University of California, Santa Barbara
    • Kavli Institute for theoretical physics
    • University of California, Santa Barbara
    • Kavli Institute for Theoretical Physics

  • Ali Lavasani

    • University of California, Santa Barbara
    • Kavli Institute for Theoretical Physics

  • Sagar Vijay

    • University of California, Santa Barbara

  • Matthew A Fisher

    • University of California, Santa Barbara