Quantum central limit theorem for continuous-time quantum walks on odd graphs in quantum probability theory

Details Quantum central limit theorem for continuous-time quantum walks on odd graphs in quantum probability theory Quantum central limit theorem for continuous-time quantum walks on odd graphs in quantum probability theory

2007-10-16

arxiv.org/abs/0710.3043v2

Int J Theor Phys (2008) 47: 3298--3309

Physics

Quantum Physics

19 page, 1 figures

Scientific paper

10.1007/s10773-008-9765-3

The method of the quantum probability theory only requires simple structural data of graph and allows us to avoid a heavy combinational argument often necessary to obtain full description of spectrum of the adjacency matrix. In the present paper, by using the idea of calculation of the probability amplitudes for continuous-time quantum walk in terms of the quantum probability theory, we investigate quantum central limit theorem for continuous-time quantum walks on odd graphs.

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