Majorization Theory Approach to the Gaussian Channel Minimum Entropy Conjecture

Raul Garcia-Patron Sanchez, Carlos Navarrete-Benlloch, Seth Lloyd, Jeffrey H. Shapiro, Nicolas J. Cerf

Research output: Contribution to journalArticlepeer-review

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.
Original languageEnglish
Article number110505
Number of pages5
JournalPhysical Review Letters
Volume108
Issue number11
DOIs
Publication statusPublished - 16 Mar 2012

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