title: Majorization theory approach to the Gaussian channel minimum entropy conjecture.
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.
authors.affiliation: Research Laboratory of Electronics, MIT, Cambridge, Massachusetts 02139, USA.
authors.forename: Raúl
authors.initials: R
authors.lastname: García-Patrón
authors.forename: Carlos
authors.initials: C
authors.lastname: Navarrete-Benlloch
authors.forename: Seth
authors.initials: S
authors.lastname: Lloyd
authors.forename: Jeffrey H
authors.initials: JH
authors.lastname: Shapiro
authors.forename: Nicolas J
authors.initials: NJ
authors.lastname: Cerf