skip to main content

SciTech ConnectSciTech Connect

Title: Random matrix techniques in quantum information theory

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:
 [1] ;  [2] ;  [3] ;  [4] ;  [3]
  1. Department of Mathematics, Kyoto University, Kyoto 606-8502 (Japan)
  2. (Canada)
  3. (France)
  4. Zentrum Mathematik, M5, Technische Universität München, Boltzmannstrasse 3, 85748 Garching (Germany)
Publication Date:
OSTI Identifier:
22479619
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 57; Journal Issue: 1; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ENTROPY; MATRICES; QUANTUM ENTANGLEMENT; QUANTUM INFORMATION; QUANTUM STATES; RANDOMNESS