Majorization Theory Approach to the Gaussian Channel Minimum Entropy Conjecture
Name
Garcia-Patron-2012-Majorization Theory Approach to the.pdf
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Author(s)
Garcia-Patron Sanchez, Raul
Navarrete-Benlloch, Carlos
Lloyd, Seth
Shapiro, Jeffrey H.
Cerf, Nicolas J.
Date Issued
March 2012
Journal
Physical Review Letters
Publisher
American Physical Society
Citation
García-Patrón, Raúl et al. “Majorization Theory Approach to the Gaussian Channel Minimum Entropy Conjecture.” Physical Review Letters 108.11 (2012). © 2012 American Physical Society
Version
Final published version
Abstract
A long-standing open problem in quantum information theory is to find the classical capacity of an optical communication link, modeled as a Gaussian bosonic channel. It has been conjectured that this capacity is achieved by a random coding of coherent states using an isotropic Gaussian distribution in phase space. We show that proving a Gaussian minimum entropy conjecture for a quantum-limited amplifier is actually sufficient to confirm this capacity conjecture, and we provide a strong argument towards this proof by exploiting a connection between quantum entanglement and majorization theory.
MIT Department
Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
Massachusetts Institute of Technology. Department of Mechanical Engineering
Massachusetts Institute of Technology. Research Laboratory of Electronics
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1103/PhysRevLett.108.110505
