dorsal/arxiv
View SchemaOn Quantum Cellular Automata
| Authors | Alexander Yu. Vlasov |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0406119 |
| URL | https://arxiv.org/abs/quant-ph/0406119 |
Abstract
In 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.
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"abstract": "In recent work [quant-ph/0405174] by Schumacher and Werner was discussed an\nabstract algebraic approach to a model of reversible quantum cellular automata\n(CA) on a lattice. It was used special model of CA based on partitioning scheme\nand so there is a question about quantum CA derived from more general, standard\nmodel of classical CA. In present work is considered an approach to definition\nof a scheme with \"history\", valid for quantization both irreversible and\nreversible classical CA directly using local transition rules. It is used\nlanguage of vectors in Hilbert spaces instead of C*-algebras, but results may\nbe compared in some cases. Finally, the quantum lattice gases, quantum walk and\n\"bots\" are also discussed briefly.",
"arxiv_id": "quant-ph/0406119",
"authors": [
"Alexander Yu. Vlasov"
],
"categories": [
"quant-ph",
"cs.OH",
"nlin.CG"
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"title": "On Quantum Cellular Automata",
"url": "https://arxiv.org/abs/quant-ph/0406119"
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