0512058v3

related topics
{qubit, qubits, gate}
{time, systems, information}
{energy, state, states}
{observables, space, algebra}
{time, decoherence, evolution}
{let, theorem, proof}
{state, algorithm, problem}
{state, states, entangled}

A universally programmable Quantum Cellular Automaton

D. J. Shepherd, T. Franz, R. F. Werner

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.

oai_identifier:
oai:arXiv.org:quant-ph/0512058
categories:
quant-ph
comments:
4 pages, 4 figures, minor changes in introduction, fixed typos, accepted for publication in Physical Review Letters
doi:
10.1103/PhysRevLett.97.020502
arxiv_id:
quant-ph/0512058
created:
2005-12-07
updated:
2006-06-09

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