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).
|Journal or Publication Title:||Communications in Mathematical Physics|
|Subjects:||Q Science > QA Mathematics|
|Departments:||Faculty of Science and Technology > Mathematics and Statistics|
|Deposited By:||Dr Alexander Belton|
|Deposited On:||26 May 2011 16:58|
|Last Modified:||26 Jul 2012 18:05|
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- Quantum random walks and thermalisation. (deposited 20 Oct 2008 09:01)
- Quantum random walks and thermalisation. (deposited 26 May 2011 16:58)[Currently Displayed]
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