Classification of quantum cellular automata

DOI10.1007/s00220-020-03735-yzbMath1447.81024arXiv1902.10285OpenAlexW3099147908MaRDI QIDQ2184742

Michael Hartley Freedman, Matthew B. Hastings

Publication date: 29 May 2020

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

Full work available at URL: https://arxiv.org/abs/1902.10285

zbMATH Keywords

indexquantum cellular automataalgebraic topology methods

Mathematics Subject Classification ID

Cellular automata (computational aspects) (68Q80) Quantum information, communication, networks (quantum-theoretic aspects) (81P45) Quantum state spaces, operational and probabilistic concepts (81P16)

Related Items (8)

Invertible subalgebras ⋮ Nontrivial quantum cellular automata in higher dimensions ⋮ An overview of quantum cellular automata ⋮ Symmetries of the Dirac quantum walk and emergence of the de Sitter group ⋮ Classification of translation invariant topological Pauli stabilizer codes for prime dimensional qudits on two-dimensional lattices ⋮ Clifford quantum cellular automata: Trivial group in 2D and Witt group in 3D ⋮ A converse to Lieb-Robinson bounds in one dimension using index theory ⋮ The group structure of quantum cellular automata

Cites Work

• Unitarity plus causality implies localizability
• Index theory of one dimensional quantum walks and cellular automata
• On manifolds homeomorphic to the 7-sphere
• The group structure of quantum cellular automata
• Nontrivial quantum cellular automata in higher dimensions
• Periodic table for topological insulators and superconductors
• Locally flat imbeddings of topological manifolds
• Unnamed Item
• Unnamed Item

This page was built for publication: Classification of quantum cellular automata