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This research investigates quantum cellular automata implementing transport models, specifically analyzing how coherent dynamics generate entanglement and non-entanglement correlations in driven systems. The study provides a theoretical framework for realizing such transport phenomena on near-term quantum hardware like Rydberg simulators and mid-circuit measurement devices. It highlights the distinction between transient bipartite entanglement and stationary states that preserve broader quantum correlations.
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Nonequilibrium phases and quantum correlations in synthetic transport models

arXiv2 min read

arXiv:2603.24478v2 Announce Type: replace Abstract: Quantum devices featuring mid-circuit measurement and reset capabilities, such as quantum computers and dual-species Rydberg quantum simulators, enable the realization of quantum cellular automata. These systems evolve in discrete time following local updates implemented by unitary gates, and allow for the realization of both closed and synthetic dissipative dynamics. Here, we focus on quantum cellular automata that implement minimal models of classical and quantum transport. To illustrate our ideas, we focus on a discrete-time totally asymmetric simple exclusion process and investigate how coherent dynamical contributions allow for the emergence of quantum effects and correlations. We find that bipartite entanglement dominates the transient evolution, while stationary states can retain quantum correlations beyond entanglement. Our results suggest viable routes for realizing transport models on quantum devices and characterizing collective quantum correlations in strongly driven systems.

Abstract:Quantum devices featuring mid-circuit measurement and reset capabilities, such as quantum computers and dual-species Rydberg quantum simulators, enable the realization of quantum cellular automata. These systems evolve in discrete time following local updates implemented by unitary gates, and allow for the realization of both closed and synthetic dissipative dynamics. Here, we focus on quantum cellular automata that implement minimal models of classical and quantum transport. To illustrate our ideas, we focus on a discrete-time totally asymmetric simple exclusion process and investigate how coherent dynamical contributions allow for the emergence of quantum effects and correlations. We find that bipartite entanglement dominates the transient evolution, while stationary states can retain quantum correlations beyond entanglement. Our results suggest viable routes for realizing transport models on quantum devices and characterizing collective quantum correlations in strongly driven systems.

Quantum Physics (quant-ph); Statistical Mechanics (cond-mat.stat-mech)

arXiv:2603.24478 [quant-ph]

(or arXiv:2603.24478v2 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2603.24478 Focus to learn more arXiv-issued DOI via DataCite

Phys. Rev. Lett. 137, 090402 (2026)

https://doi.org/10.1103/2cvx-6hqz Focus to learn more DOI(s) linking to related resources

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Full text under the publisher's open licence · 244 words

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