dorsal/arxiv
View SchemaA universally programmable Quantum Cellular Automaton
| Authors | D. J. Shepherd, T. Franz, R. F. Werner |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0512058 |
| URL | https://arxiv.org/abs/quant-ph/0512058 |
| DOI | 10.1103/PhysRevLett.97.020502 |
Abstract
We discuss the role of classical control in the context of reversible quantum cellular automata. Employing the structure theorem for quantum cellular automata, we give a general construction scheme to turn an arbitrary cellular automaton with external classical control into an autonomous one, thereby proving the computational equivalence of these two models. We use this technique to construct a universally programmable cellular automaton on a one-dimensional lattice with single cell dimension 12.
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"abstract": "We discuss the role of classical control in the context of reversible quantum\ncellular automata. Employing the structure theorem for quantum cellular\nautomata, we give a general construction scheme to turn an arbitrary cellular\nautomaton with external classical control into an autonomous one, thereby\nproving the computational equivalence of these two models. We use this\ntechnique to construct a universally programmable cellular automaton on a\none-dimensional lattice with single cell dimension 12.",
"arxiv_id": "quant-ph/0512058",
"authors": [
"D. J. Shepherd",
"T. Franz",
"R. F. Werner"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevLett.97.020502",
"title": "A universally programmable Quantum Cellular Automaton",
"url": "https://arxiv.org/abs/quant-ph/0512058"
},
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