Perfect state transfer in integral circulant graphs

被引：55

作者：

Basic, Milan ^{[1
]}

Petkovic, Marko D. ^{[1
]}

Stevanovic, Dragan ^{[1
]}

机构：

[1] Univ Nis, Fac Sci & Math, Nish 18000, Serbia

来源：

APPLIED MATHEMATICS LETTERS | 2009年 / 22卷 / 07期

关键词：

Circulant graphs; Integral graphs; Perfect state transfer; Cayley graphs;

D O I：

10.1016/j.aml.2008.11.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The existence of perfect state transfer in quantum spin networks based on integral circulant graphs has been considered recently by Saxena, Severini and Shparlinski. We give the simple condition for characterizing integral circulant graphs allowing the perfect state transfer in terms of its eigenvalues. Using that, we complete the proof of results stated by Saxena, Severini and Shparlinski. Moreover, it is shown that in the class of unitary Cayley graphs there are only two of them allowing perfect state transfer. (C) 2009 Elsevier Ltd All rights reserved.

引用

页码：1117 / 1121

页数：5

共 10 条

[1] BASIC M, APPL MATH L IN PRESS
[2] On cycles in the sequence of unitary Cayley graphs
Berrizbeitia, P
Giudici, RE
[J]. DISCRETE MATHEMATICS, 2004, 282 (1-3) : 239 - 243
[3] Perfect state transfer in quantum spin networks
Christandl, M
Datta, N
Ekert, A
Landahl, AJ
[J]. PHYSICAL REVIEW LETTERS, 2004, 92 (18) : 187902 - 1
[4] FUCHS E, 2005, ELECTRON J COMB, V12, P1
[5] HARDY G. H., 2008, An introduction to the theory of numbers, V6th
[6] A survey on multi-loop networks
Hwang, FK
[J]. THEORETICAL COMPUTER SCIENCE, 2003, 299 (1-3) : 107 - 121
[7] Klotz W, 2007, ELECTRON J COMB, V14
[8] Parameters of integral circulant graphs and periodic quantum dynamics
Saxena, Nitin
Severini, Simone
Shparlinski, Igor E.
[J]. INTERNATIONAL JOURNAL OF QUANTUM INFORMATION, 2007, 5 (03) : 417 - 430
[9] Integral circulant graphs
So, WS
[J]. DISCRETE MATHEMATICS, 2006, 306 (01) : 153 - 158
[10] STEVANOVIC D, ARS COMBINA IN PRESS

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