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SUMMARY:Lecture 2: One-shot Quantum Information Theory II: Information Tra
 nsmission - Datta\, N (University of Cambridge)
DTSTART:20130905T090000Z
DTEND:20130905T100000Z
UID:TALK46965@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Optimal rates of quantum information-processing tasks\, such a
 s compression and transmission of information\, and manipulation of entang
 lement\, were initially obtained in the so-called "asymptotic\, memoryless
  setting". In this setting\, the underlying resources (e.g. information so
 urces\, channels and entanglement resources) are assumed to be memoryless\
 , and to be available for asymptotically many uses. The optimal rates were
  shown to be given in terms of entropic quantities expressible in terms of
  the quantum relative entropy.\n\nIn real-world communications and cryptog
 raphic systems\, this setting is not generally valid: resources are used a
  finite number of times\, and there may be correlations between their succ
 essive uses. Hence\, it is important to evaluate the fundamental limits on
  information-processing tasks in the "one-shot setting"\, in which one con
 siders a finite number of uses of arbitrary resources. \n\nIn the first le
 cture\, I will discuss entropic quantities which play an important role in
  the one-shot setting\, highlighting their salient mathematical properties
  and operational significances. \n\nIn the second lecture\, I will focus o
 n the problem of transmission of information through quantum channels\, to
  illustrate how some of the entropic quantities (introduced in the first l
 ecture) arise naturally in the one-shot setting.\n\n
LOCATION:Seminar Room 1\, Newton Institute
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