Entanglement Asymmetry in Random Quantum Automata
Abstract
We investigate the subsystem entanglement asymmetry in random quantum automaton ensembles, which are generated by permuting the basis states in the Hilbert space and applying global phase shifts. We compute the ensemble average of the U(1) subsystem asymmetry in different connectivity geometries, showing that the late-time limit of the ensemble associated to a 2-local circuit geometry coincides with the all-to-all ensemble average. By focusing on different subsystem sizes, we demonstrate that, similarly to Haar-random circuits, the system locally symmetrizes. However, in sharp contrast to the Haar-random setting, the scale at which symmetrization happens depends on the initial state, a phenomenon we associate with the interplay of conservation of the participation entropy and the uniform exploration of charge sectors. Additionally, we connect the growth of the subsystem asymmetry to the subsystem coherence and show that their growth is characterized by the same symmetrization scale.
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BibTeX
@misc{castroalvaredo2026entanglement,
title = {{Entanglement Asymmetry in Random Quantum Automata}},
author = {Olalla A. Castro-Alvaredo and Dávid Szász-Schagrin and Michele Mazzoni},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2607.07556},
eprint = {2607.07556},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2607.07556},
}
RIS
TY - UNPB
TI - Entanglement Asymmetry in Random Quantum Automata
AU - Olalla A. Castro-Alvaredo
AU - Dávid Szász-Schagrin
AU - Michele Mazzoni
PY - 2026
DA - 2026/11/03
PB - arXiv
DO - 10.48550/arxiv.2607.07556
UR - https://arxiv.org/abs/2607.07556
AB - We investigate the subsystem entanglement asymmetry in random quantum automaton ensembles, which are generated by permuting the basis states in the Hilbert space and applying global phase shifts. We compute the ensemble average of the U(1) subsystem asymmetry in different connectivity geometries, showing that the late-time limit of the ensemble associated to a 2-local circuit geometry coincides with the all-to-all ensemble average. By focusing on different subsystem sizes, we demonstrate that, similarly to Haar-random circuits, the system locally symmetrizes. However, in sharp contrast to the Haar-random setting, the scale at which symmetrization happens depends on the initial state, a phenomenon we associate with the interplay of conservation of the participation entropy and the uniform exploration of charge sectors. Additionally, we connect the growth of the subsystem asymmetry to the subsystem coherence and show that their growth is characterized by the same symmetrization scale.
ER -