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

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In: Communications in Mathematical Physics, Vol. 300, No. 2, 12.2010, p. 317-329.

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

Belton, ACR 2010, 'Quantum random walks and thermalisation', *Communications in Mathematical Physics*, vol. 300, no. 2, pp. 317-329. https://doi.org/10.1007/s00220-010-1122-8

Belton, A. C. R. (2010). Quantum random walks and thermalisation. *Communications in Mathematical Physics*, *300*(2), 317-329. https://doi.org/10.1007/s00220-010-1122-8

Belton ACR. Quantum random walks and thermalisation. Communications in Mathematical Physics. 2010 Dec;300(2):317-329. doi: 10.1007/s00220-010-1122-8

@article{5047b01c0b1643da80e67d0d91f4c49d,

title = "Quantum random walks and thermalisation",

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).",

author = "Belton, {Alexander C. R.}",

year = "2010",

month = dec,

doi = "10.1007/s00220-010-1122-8",

language = "English",

volume = "300",

pages = "317--329",

journal = "Communications in Mathematical Physics",

issn = "0010-3616",

publisher = "Springer New York",

number = "2",

}

TY - JOUR

T1 - Quantum random walks and thermalisation

AU - Belton, Alexander C. R.

PY - 2010/12

Y1 - 2010/12

N2 - 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).

AB - 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).

U2 - 10.1007/s00220-010-1122-8

DO - 10.1007/s00220-010-1122-8

M3 - Journal article

VL - 300

SP - 317

EP - 329

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

SN - 0010-3616

IS - 2

ER -