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SUMMARY:Probabilistic theories with purification - Giulio Chiribella (Peri
 meter Institute)
DTSTART:20100304T141500Z
DTEND:20100304T151500Z
UID:TALK23399@talks.cam.ac.uk
CONTACT:Jonathan
DESCRIPTION:In this talk I will report on a recent work [arXiv:0908.1583] 
 investigating general probabilistic theories where every mixed state has a
  purification\, unique up to reversible channels on the purifying system. 
 The purification principle is equivalent to the existence of a reversible 
 realization for every physical process\, namely that to the fact that ever
 y physical process can be regarded as arising from the reversible interact
 ion of the input system with an environment that is eventually discarded. 
 From the purification principle one can also construct an isomorphism betw
 een transformations and bipartite states that possesses all structural pro
 perties of the Choi-Jamiolkowski isomorphism in Quantum Mechanics. Such an
  isomorphism allows one to prove most of the basic features of Quantum Inf
 ormation Processing\, like e.g. no information without disturbance\, no jo
 int discrimination of all pure states\, no cloning\, teleportation\, compl
 ementarity between correctable and deletion channels\, no programming\, an
 d no bit commitment\, without resorting to the mathematical framework of H
 ilbert spaces.
LOCATION:MR15\, Centre for Mathematical Sciences
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