[QIP-Sem] QIP seminar, Mon 11/14, 4:00, 6C-442, Greg Kuperberg

Peter Shor shor at math.mit.edu
Thu Nov 10 08:47:40 EST 2011


MIT Quantum Information Processing seminar
Monday 11/14 at 4:00 in 6C-442
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Greg Kuperberg (UC Davis)

The entropy of quantum non-locality

Abstract:

Every Bell-type protocol separates quantum probability from classical probability, but at what rate of persuasion?  A simple calculation shows that the rate of persuasion of the CHSH protocol, which is an optimization of the original Bell protocol, has a persuasion rate (or Kullback-Leibler divergence) of less than 1/20 of the entanglement entropy. Under various rules for the allowed protocol, we can establish up to 13.4% efficiency using larger qudits, and we can prove an upper bound of 100% for any protocol.  The natural upper bound is reachable for multipartite cat states, but the bipartite case is open.  We also look at ultra-Bell separation between quantum entanglement and general non-signaling boxes, which is a case where we can prove maximal statistical divergence.

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