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Majorization theory approach to the Gaussian channel minimum entropy conjecture

par Garcia-Patron Sanchez, Raul ;Navarrete-Benlloch, Carlos;Lloyd, Seth;Shapiro, Jeffrey H.;Cerf, Nicolas
Référence Physical review letters, 108, 110505
Publication Publié, 2012-03-16

Article révisé par les pairs

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Résumé :

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.