Belton, Alexander C. R. (2010) Quantum random walks and thermalisation. Communications in Mathematical Physics, 300 (2). pp. 317-329. ISSN 0010-3616
This is the latest version of this item.
Official URL: http://dx.doi.org/10.1007/s00220-010-1122-8
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: | Article |
|---|---|
| Journal or Publication Title: | Communications in Mathematical Physics |
| Subjects: | Q Science > QA Mathematics |
| Departments: | Faculty of Science and Technology > Mathematics and Statistics |
| ID Code: | 40830 |
| Deposited By: | Dr Alexander Belton |
| Deposited On: | 26 May 2011 16:58 |
| Refereed?: | Yes |
| Published?: | Published |
| Last Modified: | 26 Jul 2012 18:05 |
| Identification Number: | |
| URI: | http://eprints.lancs.ac.uk/id/eprint/40830 |
Available Versions of this Item
- 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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