Majorization theory approach to the Gaussian channel minimum entropy conjecture

Details Majorization theory approach to the Gaussian channel minimum entropy conjecture Majorization theory approach to the Gaussian channel minimum entropy conjecture

2011-11-08

arxiv.org/abs/1111.1986v1

Physics

Quantum Physics

Scientific paper

A longstanding 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.

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