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SUMMARY:The non-additivity saga continues: entanglement of purification - 
 Andreas Winter (University of Bristol)
DTSTART:20120119T141500Z
DTEND:20120119T151500Z
UID:TALK35478@talks.cam.ac.uk
CONTACT:Paul Skrzypczyk
DESCRIPTION:Quantum Shannon theory aims to understand the information proc
 essing capabilities of quantum systems in the form of capacities. Unlike i
 n Shannon's classical theory\, we now know that many of these are not addi
 tive\, making the landscape of phenomena in the quantum case much richer\;
  also\, it seems to make it much more difficult to evaluate these quantum 
 capacities. The same goes for entanglement measures. After the dramatic pr
 ogress of Hastings\, Smith and Yard\, and others\, from a couple of years 
 ago\, I will here report on the entanglement of purification (EoP) [Terhal
  et al.\, JMP 43:4286 (2002)]\, which measures the total amount of correla
 tion needed to prepare a state. In joint work with Jianxin Chen (IQC Water
 loo) we show strong evidence that EoP is not additive\, although it is kno
 wn to be additive for certain families of states.
LOCATION:MR4\, Centre for Mathematical Sciences
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