Scrambling in quantum cellular automata

• URL: http://arxiv.org/abs/2301.07722v3
• Date: Mon, 24 Apr 2023 21:10:48 GMT
• Title: Scrambling in quantum cellular automata
• Authors: Brian Kent, Sarah Racz, Sanjit Shashi
• Abstract summary: Scrambling is the delocalization of quantum information over a many-body system. We employ discrete quantum cellular automata as classically simulable toy models of scrambling.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Scrambling is the delocalization of quantum information over a many-body system and underlies all quantum-chaotic dynamics. We employ discrete quantum cellular automata as classically simulable toy models of scrambling. We observe that these automata break ergodicity, i.e. they exhibit quantum scarring. We also find that the time-scale of scrambling rises with the local Hilbert-space dimension and obeys a specific combinatorial pattern. We then show that scarring is mostly suppressed in a semiclassical limit, demonstrating that semiclassical-chaotic systems are more ergodic.

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