The group structure of quantum cellular automata

DOI10.1007/s00220-022-04316-xzbMath1487.81041arXiv1910.07998OpenAlexW4210711053MaRDI QIDQ2113462

Jeongwan Haah, Michael Hartley Freedman, Matthew B. Hastings

Publication date: 14 March 2022

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.07998

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Quantum computation (81P68) Specification and verification (program logics, model checking, etc.) (68Q60) Cellular automata (computational aspects) (68Q80) Groups and algebras in quantum theory and relations with integrable systems (81R12) Quantum stochastic calculus (81S25) Quantum control (81Q93)

Related Items (3)

Classification of quantum cellular automata ⋮ Invertible subalgebras ⋮ Clifford quantum cellular automata: Trivial group in 2D and Witt group in 3D

Cites Work

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• Unitarity plus causality implies localizability
• Index theory of one dimensional quantum walks and cellular automata
• Classification of quantum cellular automata
• Topology of Spaces of S-Immersions
• Partial Differential Relations
• Immersions of Manifolds
• Clifford quantum cellular automata: Trivial group in 2D and Witt group in 3D

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