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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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).

Item Type:
Journal Article
Journal or Publication Title:
Communications in Mathematical Physics
Uncontrolled Keywords:
/dk/atira/pure/researchoutput/libraryofcongress/qa
Subjects:
?? MATHEMATICAL PHYSICSSTATISTICAL AND NONLINEAR PHYSICSQA MATHEMATICS ??
ID Code:
40830
Deposited By:
Deposited On:
26 May 2011 15:58
Refereed?:
Yes
Published?:
Published
Last Modified:
19 Sep 2023 00:32