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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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.
DepartmentMassachusetts 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
Physical Review Letters
American Physical Society
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
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