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Quantum random walks and thermalisation

Research output: Contribution to journalJournal article

Published

Journal publication date12/2010
JournalCommunications in Mathematical Physics
Journal number2
Volume300
Number of pages13
Pages317-329
Original languageEnglish

Abstract

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).