- http://link.springer.com/article/10.1007%2Fs00220-014-1886-3
Final published version

- http://arxiv.org/abs/1209.5059
Other version

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Published

In: Communications in Mathematical Physics, Vol. 328, No. 2, 2014, p. 573-596.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Belton, ACR 2014, 'Quantum random walks with general particle states', *Communications in Mathematical Physics*, vol. 328, no. 2, pp. 573-596. https://doi.org/10.1007/s00220-014-1886-3

Belton, A. C. R. (2014). Quantum random walks with general particle states. *Communications in Mathematical Physics*, *328*(2), 573-596. Advance online publication. https://doi.org/10.1007/s00220-014-1886-3

Belton ACR. Quantum random walks with general particle states. Communications in Mathematical Physics. 2014;328(2):573-596. Epub 2014 Feb 16. doi: 10.1007/s00220-014-1886-3

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title = "Quantum random walks with general particle states",

abstract = "A convergence theorem is obtained for quantum random walks with particles in an arbitrary normal state. This unifies and extends previous work on repeated-interactions models, including that of Attal and Pautrat (Ann Henri Poincar{\'e} 7:59-104 2006) and Belton (J Lond Math Soc 81:412-434, 2010; Commun Math Phys 300:317-329, 2010). When the random-walk generator acts by ampliation and either multiplication or conjugation by a unitary operator, it is shown that the quantum stochastic cocycle which arises in the limit is driven by a unitary process.",

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AB - A convergence theorem is obtained for quantum random walks with particles in an arbitrary normal state. This unifies and extends previous work on repeated-interactions models, including that of Attal and Pautrat (Ann Henri Poincaré 7:59-104 2006) and Belton (J Lond Math Soc 81:412-434, 2010; Commun Math Phys 300:317-329, 2010). When the random-walk generator acts by ampliation and either multiplication or conjugation by a unitary operator, it is shown that the quantum stochastic cocycle which arises in the limit is driven by a unitary process.

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