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SUMMARY:A solution of the Gaussian optimizer conjecture - Garcia-Patron\, 
 R (Max-Planck-Institut fr Quantenoptik)
DTSTART:20131217T140000Z
DTEND:20131217T150000Z
UID:TALK49400@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:The long-standing conjectures of the optimality of \nGaussian 
 inputs for Gaussian channel and Gaussian additivity are\nsolved for a broa
 d class of covariant or contravariant Bosonic \nGaussian channels (which i
 ncludes in particular thermal\, additive \nclassical noise\, and ampli?er 
 channels) restricting to the class of \nstates with ?nite second moments.\
 nWe show that the vacuum is the input state which minimizes the\nentropy a
 t the output of such channels. This allows us to show \nalso that the clas
 sical capacity of these channels (under the input \nenergy constraint) is 
 additive and is achieved by Gaussian \nencodings.\n\n
LOCATION:Seminar Room 1\, Newton Institute
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