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SUMMARY:Comparison of statistical models on general quantum systems: a &qu
 ot\;Quantum Blackwell Theorem&quot\; - Francesco Buscemi
DTSTART:20100923T131500Z
DTEND:20100923T141500Z
UID:TALK26055@talks.cam.ac.uk
CONTACT:Sergii Strelchuk
DESCRIPTION:A theorem by Blackwell\, providing criteria for one statistica
 l experiment being more informative than another\, plays a central role in
  the theory of comparison of statistical experiments in classical decision
  theory. In this talk I will extend some of these ideas by constructing a 
 general framework for the comparison of statistical models\, valid in both
  classical and quantum decision theory. This will be done by introducing t
 he notion of *state space morphism*\, which is analogous to the classical 
 notion of stochastic transformation and generalizes the quantum notion of 
 completely positive trace-preserving map. The main result is a general com
 parison theorem that strengthens and unifies results that previously were 
 independent\, like Blackwell's theorem and its analogues for quantum state
 s and quantum channels recently proved by Shmaya and Chefles\, respectivel
 y.
LOCATION:MR14\, Centre for Mathematical Sciences
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