Localization and its consequences for quantum walk algorithms and quantum communication

Details Localization and its consequences for quantum walk algorithms and quantum communication Localization and its consequences for quantum walk algorithms and quantum communication

2006-06-26

arxiv.org/abs/quant-ph/0606205v2

Physics

Quantum Physics

4 pages, 1 eps figure. Updated references and cosmetic changes for v2

Scientific paper

10.1103/PhysRevA.76.012315

The exponential speed-up of quantum walks on certain graphs, relative to classical particles diffusing on the same graph, is a striking observation. It has suggested the possibility of new fast quantum algorithms. We point out here that quantum mechanics can also lead, through the phenomenon of localization, to exponential suppression of motion on these graphs (even in the absence of decoherence). In fact, for physical embodiments of graphs, this will be the generic behaviour. It also has implications for proposals for using spin networks, including spin chains, as quantum communication channels.

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