On Quantum Cellular Automata

dc.creatorVlasov, Alexander Yu.
dc.date2004-06-17
dc.date2004-06-24
dc.date.accessioned2026-07-07T06:09:55Z
dc.date.available2026-07-07T06:09:55Z
dc.descriptionIn recent work [quant-ph/0405174] by Schumacher and Werner was discussed an abstract algebraic approach to a model of reversible quantum cellular automata (CA) on a lattice. It was used special model of CA based on partitioning scheme and so there is a question about quantum CA derived from more general, standard model of classical CA. In present work is considered an approach to definition of a scheme with "history", valid for quantization both irreversible and reversible classical CA directly using local transition rules. It is used language of vectors in Hilbert spaces instead of C*-algebras, but results may be compared in some cases. Finally, the quantum lattice gases, quantum walk and "bots" are also discussed briefly.
dc.descriptionLaTeX (amsmath, amssymb, graphicx packages) 17 pages, 22 eps figures; v2: misspelling corrected, +2 figures
dc.identifierhttps://arxiv.org/abs/quant-ph/0406119
dc.identifierhttp://arxiv.org/abs/quant-ph/0406119
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/92127
dc.subjectQuantum Physics
dc.subjectOther Computer Science
dc.subjectCellular Automata and Lattice Gases
dc.titleOn Quantum Cellular Automata
dc.typetext

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