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Quantum random walks and thermalisation

Research output: Contribution to Journal/MagazineJournal articlepeer-review

<mark>Journal publication date</mark>12/2010
<mark>Journal</mark>Communications in Mathematical Physics
Issue number2
Number of pages13
Pages (from-to)317-329
Publication StatusPublished
<mark>Original language</mark>English


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 (J Funct Anal 247:253–288, 2007).