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SUMMARY:Secure decoupling of quantum systems: how to shred quantum informa
 tion - Francesco Buscemi (CQC Cambridge)
DTSTART:20081204T140000Z
DTEND:20081204T150000Z
UID:TALK15469@talks.cam.ac.uk
CONTACT:Lawrence Ioannou
DESCRIPTION:We consider the problem of decoupling a given bipartite state 
 under various constraints which make the decoupling task highly non-trivia
 l. Among these\, stand as notable examples the Landauer-like approach (whe
 re one minimises the amount of "work" necessary for decoupling) and the ge
 ometrical approach (where contraints are given as covariance properties of
  the decoupling map). Correspondingly\, one obtains quantitative measures 
 for the strength or amount of correlations present in the input state.\n\n
 \nIn this talk\, I propose and study a model of decoupling where the const
 raint can be understood as a sort of security requirement: the amount of c
 orrelations that can be transferred into the environment during the decoup
 ling process has to be upper-bounded by some security/leakage parameter. A
 s a consequence\, it turns out that\, in general\, total correlations can 
 be only partially erased. Bounds for the one-shot case\, as well as some r
 esults for the i.i.d. asymptotic limit are given.\n
LOCATION:MR11\, Centre for Mathematical Sciences
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