Information flow in non-unitary quantum cellular automata

DOI10.21468/SCIPOSTPHYS.16.1.014MaRDI QIDQ6599903

Elisabeth Wagner, G. K. Brennen, Ramil Nigmatullin, Alexei Gilchrist

Publication date: 6 September 2024

Published in: SciPost Physics (Search for Journal in Brave)

Mathematics Subject Classification ID

Foundations, quantum information and its processing, quantum axioms, and philosophy (81Pxx) Time-dependent statistical mechanics (dynamic and nonequilibrium) (82Cxx)

Cites Work

• Index theory of one dimensional quantum walks and cellular automata
• Ergodicity of quantum cellular automata.
• A converse to Lieb-Robinson bounds in one dimension using index theory
• The group structure of quantum cellular automata
• Classification of quantum cellular automata
• Nontrivial quantum cellular automata in higher dimensions
• Matrix product unitaries: structure, symmetries, and topological invariants
• Trace Formulae of Characteristic Polynomial and Cayley–Hamilton's Theorem, and Applications to Chiral Perturbation Theory and General Relativity
• Fermionic quantum cellular automata and generalized matrix-product unitaries
• An overview of quantum cellular automata

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