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 |
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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: | 09 Apr 2014 22:05 |

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)
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- Quantum random walks and thermalisation. (deposited 26 May 2011 16:58)

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