Continuous-Time Quantum Walks on Trees in Quantum Probability Theory

Details Continuous-Time Quantum Walks on Trees in Quantum Probability Theory Continuous-Time Quantum Walks on Trees in Quantum Probability Theory

2006-02-26

arxiv.org/abs/quant-ph/0602213v2

Infinite Dimensional Analysis, Quantum Probability and Related Topics, Vol.9, No.2, pp.287-297 (2006)

Physics

Quantum Physics

13 pages, Journal-ref added

Scientific paper

A quantum central limit theorem for a continuous-time quantum walk on a
homogeneous tree is derived from quantum probability theory. As a consequence,
a new type of limit theorems for another continuous-time walk introduced by the
walk is presented. The limit density is similar to that given by a
continuous-time quantum walk on the one-dimensional lattice.

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