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Quantum random walk approximation on locally compact quantum groups

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Quantum random walk approximation on locally compact quantum groups. / Lindsay, J. Martin; Skalski, Adam G.
In: Letters in Mathematical Physics, Vol. 103, No. 7, 01.07.2013, p. 765-775.

Research output: Contribution to Journal/MagazineJournal articlepeer-review

Harvard

Lindsay, JM & Skalski, AG 2013, 'Quantum random walk approximation on locally compact quantum groups', Letters in Mathematical Physics, vol. 103, no. 7, pp. 765-775. https://doi.org/10.1007/s11005-013-0613-x

APA

Vancouver

Lindsay JM, Skalski AG. Quantum random walk approximation on locally compact quantum groups. Letters in Mathematical Physics. 2013 Jul 1;103(7):765-775. doi: 10.1007/s11005-013-0613-x

Author

Lindsay, J. Martin ; Skalski, Adam G. / Quantum random walk approximation on locally compact quantum groups. In: Letters in Mathematical Physics. 2013 ; Vol. 103, No. 7. pp. 765-775.

Bibtex

@article{5517e3688dee43a39396c8cc39331455,
title = "Quantum random walk approximation on locally compact quantum groups",
abstract = "A natural scheme is established for the approximation of quantum L{\'e}vy processes on locally compact quantum groups by quantum random walks. We work in the somewhat broader context of discrete approximations of completely positive quantum stochastic convolution cocycles on C*-bialgebras.",
keywords = "quantum random walk , quantum L{\'e}vy process, noncommutative probability, locally compact quantum group, C*-bialgebra, stochastic cocycle",
author = "Lindsay, {J. Martin} and Skalski, {Adam G.}",
year = "2013",
month = jul,
day = "1",
doi = "10.1007/s11005-013-0613-x",
language = "English",
volume = "103",
pages = "765--775",
journal = "Letters in Mathematical Physics",
issn = "0377-9017",
publisher = "Springer Netherlands",
number = "7",

}

RIS

TY - JOUR

T1 - Quantum random walk approximation on locally compact quantum groups

AU - Lindsay, J. Martin

AU - Skalski, Adam G.

PY - 2013/7/1

Y1 - 2013/7/1

N2 - A natural scheme is established for the approximation of quantum Lévy processes on locally compact quantum groups by quantum random walks. We work in the somewhat broader context of discrete approximations of completely positive quantum stochastic convolution cocycles on C*-bialgebras.

AB - A natural scheme is established for the approximation of quantum Lévy processes on locally compact quantum groups by quantum random walks. We work in the somewhat broader context of discrete approximations of completely positive quantum stochastic convolution cocycles on C*-bialgebras.

KW - quantum random walk

KW - quantum Lévy process

KW - noncommutative probability

KW - locally compact quantum group

KW - C-bialgebra

KW - stochastic cocycle

U2 - 10.1007/s11005-013-0613-x

DO - 10.1007/s11005-013-0613-x

M3 - Journal article

VL - 103

SP - 765

EP - 775

JO - Letters in Mathematical Physics

JF - Letters in Mathematical Physics

SN - 0377-9017

IS - 7

ER -