Quantum random walks and thermalisation

Belton, Alexander C. R. (2010) Quantum random walks and thermalisation. Communications in Mathematical Physics, 300 (2). pp. 317-329. ISSN 0010-3616

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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).

Item Type: Journal Article
Journal or Publication Title: Communications in Mathematical Physics
Uncontrolled Keywords: /dk/atira/pure/researchoutput/libraryofcongress/qa
Departments: Faculty of Science and Technology > Mathematics and Statistics
ID Code: 40830
Deposited By: Dr Alexander Belton
Deposited On: 26 May 2011 15:58
Refereed?: Yes
Published?: Published
Last Modified: 01 Jan 2020 07:09
URI: https://eprints.lancs.ac.uk/id/eprint/40830

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