Continuous-time quantum walks on star graphs

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...

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Bibliographic Details
Published inAnnals of physics Vol. 324; no. 6; pp. 1185 - 1193
Main Author Salimi, S.
Format Journal Article
LanguageEnglish
Published New York Elsevier Inc 01.06.2009
Elsevier BV
Subjects
Astrophysics
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Continuous-time quantum walk
GRAPH THEORY
Mathematics
MATRICES
PROBABILITY
QUANTUM MECHANICS
Quantum theory
Spectral distribution
Star graph
Theorems
Continuous-time quantum walk
Spectral distribution
03.65.Ud
Star graph
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Summary: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 2 graphs (complete graph with two vertices) and the probability of observing walk tends to the uniform distribution.
ISSN:0003-4916
1096-035X
DOI:10.1016/j.aop.2009.03.002