Measurement-induced phase transitions in sparse nonlocal scramblers

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Hashizume, Tomohiro and Bentsen, Gregory S. and Daley, Andrew J. (2022) Measurement-induced phase transitions in sparse nonlocal scramblers. Physical Review Research, 4 (1). 013174. ISSN 2643-1564 (https://doi.org/10.1103/PhysRevResearch.4.013174)

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Abstract

Measurement-induced phase transitions arise due to a competition between the scrambling of quantum information in a many-body system and local measurements. In this work we investigate these transitions in different classes of fast scramblers, systems that scramble quantum information as quickly as is conjectured to be possible – on a timescale proportional to the logarithm of the system size. In particular, we consider sets of deterministic sparse couplings that naturally interpolate between local circuits that slowly scramble information and highly nonlocal circuits that achieve the fast-scrambling limit. We find that circuits featuring sparse nonlocal interactions are able to withstand substantially higher rates of local measurement than circuits with only local interactions, even at comparable gate depths. We also study the quantum error-correcting codes that support the volume-law entangled phase and find that our maximally nonlocal circuits yield codes with nearly extensive contiguous code distance. Use of these sparse, deterministic circuits opens pathways towards the design of noise-resilient quantum circuits and error correcting codes in current and future quantum devices with minimum gate numbers.

ORCID iDs

Hashizume, Tomohiro, Bentsen, Gregory S. and Daley, Andrew J. ORCID logoORCID: https://orcid.org/0000-0001-9005-7761;
  • Item type:Article
    ID code:79723
    Dates:
    Date
    Event
    3 March 2022
    Published
    28 January 2022
    Accepted
    Subjects:Science > Physics
    Department:Faculty of Science > Physics
    Depositing user: Pure Administrator
    Date deposited:24 Feb 2022 15:09
    Last modified:11 Nov 2024 13:24
    Related URLs:
    URI:https://strathprints.strath.ac.uk/id/eprint/79723
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