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SUMMARY:Application of majorization theory to quantum communication - Nico
 las Cerf\, ULB
DTSTART:20160519T131500Z
DTEND:20160519T141500Z
UID:TALK65781@talks.cam.ac.uk
CONTACT:Steve Brierley
DESCRIPTION:Majorization relations have long been known to play a key role
  in relation with quantum entanglement. For instance\, they provide a preo
 rder relation between bipartite pure states that implies the existence of 
 a deterministic LOCC transformation between them. They also express a nece
 ssary separability condition for bipartite mixed states. In this talk\, I 
 will review the recent progress on the role of majorization theory in quan
 tum communication theory\, especially for bosonic Gaussian channels. I wil
 l exhibit fundamental majorization relations in optical components\, such 
 as beam splitters or parametric amplifiers\, and will discuss their applic
 ation in  proving fundamental entropy bounds in quantum channels.
LOCATION:MR4\, Centre for Mathematical Sciences\, Wilberforce Road\, Cambr
 idge
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