Scrambling in quantum cellular automata
arXiv:2301.07722 · doi:10.1103/PhysRevB.107.144306
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.
7 pages (including supplement), 5 figures; version 2: references added; version 3: typos fixed, matches version to be published in PRB
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- The Early Universe as an Open Quantum System: Complexity and Decoherence
- Quantum chaos without false positives
- Refined quantum Lyapunov exponents from replica out-of-time-order correlators
- Operator dynamics and entanglement in space-time dual Hadamard lattices
- Quantum error mitigation in optimized circuits for particle-density correlations in real-time dynamics of the Schwinger model
- Information scrambling in quantum walks: Discrete-time formulation of Krylov complexity