Tunable geometries in sparse Clifford circuits

Hashizume, Tomohiro and Kuriyattil, Sridevi and Daley, Andrew J. and Bentsen, Gregory (2022) Tunable geometries in sparse Clifford circuits. Symmetry, 14 (4). 666. ISSN 2073-8994 (https://doi.org/10.3390/sym14040666)

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Abstract

We investigate the emergence of different effective geometries in stochastic Clifford circuits with sparse coupling. By changing the probability distribution for choosing two-site gates as a function of distance, we generate sparse interactions that either decay or grow with distance as a function of a single tunable parameter. Tuning this parameter reveals three distinct regimes of geometry for the spreading of correlations and growth of entanglement in the system. We observe linear geometry for short-range interactions, treelike geometry on a sparse coupling graph for longrange interactions, and an intermediate fast scrambling regime at the crossover point between the linear and treelike geometries. This transition in geometry is revealed in calculations of the subsystem entanglement entropy and tripartite mutual information. We also study emergent lightcones that govern these effective geometries by teleporting a single qubit of information from an input qubit to an output qubit. These tools help to analyze distinct geometries arising in dynamics and correlation spreading in quantum many-body systems.

  • Item type:Article
    ID code:79935
    Dates:
    Date
    Event
    24 March 2022
    Published
    22 March 2022
    Accepted
    25 February 2022
    Submitted
    Subjects:Science > Physics
    Department:Faculty of Science > Physics
    Depositing user: Pure Administrator
    Date deposited:23 Mar 2022 09:13
    Last modified:09 Apr 2024 03:05
    URI:https://strathprints.strath.ac.uk/id/eprint/79935
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