Quantum random walks and thermalisation

Details Quantum random walks and thermalisation Quantum random walks and thermalisation

2008-10-16

arxiv.org/abs/0810.2927v2

Mathematics

Functional Analysis

16 pages

Scientific paper

It is shown how to construct quantum random walks with particles in an arbitrary faithful normal state. A convergence theorem is obtained for such walks, which demonstrates a thermalisation effect: the limit cocycle obeys a quantum stochastic differential equation without gauge terms. Examples are presented which generalise that of Attal and Joye (2007, J. Funct. Anal. 247, 253-288).

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