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SUMMARY:Quantum privacy: introducing mutual independence - Jonathan Oppenh
 eim
DTSTART:20090226T141500Z
DTEND:20090226T151500Z
UID:TALK17182@talks.cam.ac.uk
CONTACT:Lawrence Ioannou
DESCRIPTION:We introduce the concept of mutual independence -- correlation
 s shared\nbetween distant parties which are independent of the environment
 . This\nnotion is more general than the standard idea of a secret key -- i
 t is a\nfully quantum and more general form of privacy. The states which p
 ossess\nmutual independence also generalize the so called private states -
 -\nthose that possess private key. We then show that the problem of\ndistr
 ibuted compression of quantum information can be solved in terms of\nmutua
 l independence.   We suspect that mutual independence is a highly\nsingula
 r quantity\, i.e. that it is positive only on a set of measure\nzero\; fur
 thermore\, we believe that its presence is seen on the single\ncopy level.
  This appears to be born out in the classical case.\n
LOCATION:MR11\, Centre for Mathematical Sciences
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