Continuous-time quantum walks on star graphs

Journal Article · Mon Jun 15 00:00:00 EDT 2009 · Annals of Physics (New York)

DOI:https://doi.org/10.1016/j.aop.2009.03.002· OSTI ID:21313056

Salimi, S. ^[1]

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1. Department of Physics, University of Kurdistan, P.O. Box 66177-15175, Sanandaj (Iran, Islamic Republic of), E-mail: [e-mail]

In this paper, we investigate continuous-time quantum walk on star graphs. It is shown that quantum central limit theorem for a continuous-time quantum walk on star graphs for N-fold star power graph, which are invariant under the quantum component of adjacency matrix, converges to continuous-time quantum walk on K{sub 2} graphs (complete graph with two vertices) and the probability of observing walk tends to the uniform distribution.

• OSTI ID: 21313056
• Journal Information: Annals of Physics (New York), Vol. 324, Issue 6; Other Information: DOI: 10.1016/j.aop.2009.03.002; PII: S0003-4916(09)00057-8; Copyright (c) 2009 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved; Country of input: International Atomic Energy Agency (IAEA); ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
GRAPH THEORY
MATRICES
PROBABILITY
QUANTUM MECHANICS