Quantum walks on highly symmetric graphs

Mark Hillery

doi:10.1364/ICQI.2008.QTuC5

International Conference on Quantum Information
(Optica Publishing Group, 2008),
paper QTuC5
•https://doi.org/10.1364/ICQI.2008.QTuC5

Quantum walks on highly symmetric graphs

Mark Hillery

International Conference on Quantum Information 2008

Boston, Massachusetts United States
13–16 July 2008
ISBN:

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Decoherence and Algorithms (QTuC)

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M. Hillery, "Quantum walks on highly symmetric graphs," in International Conference on Quantum Information, (Optica Publishing Group, 2008), paper QTuC5.

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Abstract

We study discrete-time quantum walks on the complete and bipartite graphs. We show how they can be used to perform searches. The symmetry of these graphs leads to a significant dimensional reduction of the problem.

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