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Quantum random walks with general particle states

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Quantum random walks with general particle states. / Belton, Alexander C. R.
In: Communications in Mathematical Physics, Vol. 328, No. 2, 2014, p. 573-596.

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

Harvard

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

APA

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

Vancouver

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

Author

Belton, Alexander C. R. / Quantum random walks with general particle states. In: Communications in Mathematical Physics. 2014 ; Vol. 328, No. 2. pp. 573-596.

Bibtex

@article{cae5a4517f274eb28b2fec7bd9749585,
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.",
author = "Belton, {Alexander C. R.}",
year = "2014",
doi = "10.1007/s00220-014-1886-3",
language = "English",
volume = "328",
pages = "573--596",
journal = "Communications in Mathematical Physics",
issn = "0010-3616",
publisher = "Springer New York",
number = "2",

}

RIS

TY - JOUR

T1 - Quantum random walks with general particle states

AU - Belton, Alexander C. R.

PY - 2014

Y1 - 2014

N2 - 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.

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.

U2 - 10.1007/s00220-014-1886-3

DO - 10.1007/s00220-014-1886-3

M3 - Journal article

VL - 328

SP - 573

EP - 596

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

SN - 0010-3616

IS - 2

ER -