Continuous-time quantum walk;
Star graph;
Spectral distribution;
D O I:
10.1016/j.aop.2009.03.002
中图分类号:
O4 [物理学];
学科分类号:
0702 ;
摘要:
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. (c) 2009 Elsevier Inc. All rights reserved.
机构:
Wigner Res Ctr Phys, Inst Particle & Nucl Phys, Konkoly Thege Miklos Ut 29-33, H-1121 Budapest, Hungary
Eotvos Lorand Univ, Dept Atom Phys, Pazmany Peter Setany 1-A, H-1117 Budapest, HungaryWigner Res Ctr Phys, Inst Particle & Nucl Phys, Konkoly Thege Miklos Ut 29-33, H-1121 Budapest, Hungary
Szigeti, Balazs Endre
Homa, Gabor
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机构:
Eotvos Lorand Univ, Dept Phys Complex Syst, Pazmany Peter Setany 1-A, H-1117 Budapest, Hungary
Natl Univ Publ Serv, Ludovika Ter 2, H-1083 Budapest, HungaryWigner Res Ctr Phys, Inst Particle & Nucl Phys, Konkoly Thege Miklos Ut 29-33, H-1121 Budapest, Hungary
Homa, Gabor
Zimboras, Zoltan
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机构:
Wigner Res Ctr Phys, Inst Particle & Nucl Phys, Konkoly Thege Miklos Ut 29-33, H-1121 Budapest, Hungary
MTA BME Lendulet Quantum Informat Theory Res Grp, H-1111 Budapest, Hungary
Budapest Univ Technol & Econ, Math Inst, POB 91, H-1111 Budapest, HungaryWigner Res Ctr Phys, Inst Particle & Nucl Phys, Konkoly Thege Miklos Ut 29-33, H-1121 Budapest, Hungary
Zimboras, Zoltan
Barankai, Norbert
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h-index: 0
机构:
MTA ELTE Theoret Ph Vsics Res Grp, Pazmany Peter Setany 1-A, H-1117 Budapest, HungaryWigner Res Ctr Phys, Inst Particle & Nucl Phys, Konkoly Thege Miklos Ut 29-33, H-1121 Budapest, Hungary