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Majorization Theory Approach to the Gaussian Channel Minimum Entropy Conjecture

Author(s)
Garcia-Patron Sanchez, Raul; Navarrete-Benlloch, Carlos; Lloyd, Seth; Shapiro, Jeffrey H.; Cerf, Nicolas J.
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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.
Date issued
2012-03
URI
http://hdl.handle.net/1721.1/71640
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
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
ISSN
0031-9007
1079-7114

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