Random matrix techniques in quantum information theory
Abstract
The purpose of this review is to present some of the latest developments using random techniques, and in particular, random matrix techniques in quantum information theory. Our review is a blend of a rather exhaustive review and of more detailed examples—coming mainly from research projects in which the authors were involved. We focus on two main topics, random quantum states and random quantum channels. We present results related to entropic quantities, entanglement of typical states, entanglement thresholds, the output set of quantum channels, and violations of the minimum output entropy of random channels.
- Authors:
-
- Department of Mathematics, Kyoto University, Kyoto 606-8502 (Japan)
- France
- Zentrum Mathematik, M5, Technische Universität München, Boltzmannstrasse 3, 85748 Garching (Germany)
- Publication Date:
- OSTI Identifier:
- 22479619
- Resource Type:
- Journal Article
- Journal Name:
- Journal of Mathematical Physics
- Additional Journal Information:
- Journal Volume: 57; Journal Issue: 1; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ENTROPY; MATRICES; QUANTUM ENTANGLEMENT; QUANTUM INFORMATION; QUANTUM STATES; RANDOMNESS
Citation Formats
Collins, Benoît, Département de Mathématique et Statistique, Université d’Ottawa, 585 King Edward, Ottawa, Ontario K1N6N5, CNRS, Lyon, Nechita, Ion, and Laboratoire de Physique Théorique, CNRS, IRSAMC, Université de Toulouse, UPS, F-31062 Toulouse. Random matrix techniques in quantum information theory. United States: N. p., 2016.
Web. doi:10.1063/1.4936880.
Collins, Benoît, Département de Mathématique et Statistique, Université d’Ottawa, 585 King Edward, Ottawa, Ontario K1N6N5, CNRS, Lyon, Nechita, Ion, & Laboratoire de Physique Théorique, CNRS, IRSAMC, Université de Toulouse, UPS, F-31062 Toulouse. Random matrix techniques in quantum information theory. United States. https://doi.org/10.1063/1.4936880
Collins, Benoît, Département de Mathématique et Statistique, Université d’Ottawa, 585 King Edward, Ottawa, Ontario K1N6N5, CNRS, Lyon, Nechita, Ion, and Laboratoire de Physique Théorique, CNRS, IRSAMC, Université de Toulouse, UPS, F-31062 Toulouse. 2016.
"Random matrix techniques in quantum information theory". United States. https://doi.org/10.1063/1.4936880.
@article{osti_22479619,
title = {Random matrix techniques in quantum information theory},
author = {Collins, Benoît and Département de Mathématique et Statistique, Université d’Ottawa, 585 King Edward, Ottawa, Ontario K1N6N5 and CNRS, Lyon and Nechita, Ion and Laboratoire de Physique Théorique, CNRS, IRSAMC, Université de Toulouse, UPS, F-31062 Toulouse},
abstractNote = {The purpose of this review is to present some of the latest developments using random techniques, and in particular, random matrix techniques in quantum information theory. Our review is a blend of a rather exhaustive review and of more detailed examples—coming mainly from research projects in which the authors were involved. We focus on two main topics, random quantum states and random quantum channels. We present results related to entropic quantities, entanglement of typical states, entanglement thresholds, the output set of quantum channels, and violations of the minimum output entropy of random channels.},
doi = {10.1063/1.4936880},
url = {https://www.osti.gov/biblio/22479619},
journal = {Journal of Mathematical Physics},
issn = {0022-2488},
number = 1,
volume = 57,
place = {United States},
year = {Fri Jan 15 00:00:00 EST 2016},
month = {Fri Jan 15 00:00:00 EST 2016}
}
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