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SUMMARY:Monogamy\, entanglement and deep hidden variables - Michael Seevin
 ck (Utrecht)
DTSTART:20090212T140000Z
DTEND:20090212T150000Z
UID:TALK16982@talks.cam.ac.uk
CONTACT:Lawrence Ioannou
DESCRIPTION:Despite over 40 years of research on Bell-type inequalities\, 
 the question of non-locality and entanglement\, new technical results that
  have general foundational relevance can still be obtained. In this talk I
  will present a number of new results that deal with the question of how t
 o discern local\, quantum and no-signaling correlations. \n\nI will first 
 introduce some technical results that deal with novel quantum inequalities
  that strengthen the Tsirelson inequalities and non-trivial no-signaling i
 nequalities that discern no-signaling correlations from general correlatio
 ns.  The latter have striking similarity with the well-known CHSH inequali
 ty\, yet they are crucially different.\n\nNext I will show interesting rel
 ationships that exist between inferences on the surface and subsurface lev
 el of a hidden variable theory. Here the surface level deals with experime
 ntally accessible probabilities (e.g.\, via relative frequencies) and the 
 sub-surface level deals with probabilities that are conditioned on a hidde
 n-variable (or the quantum state). The most interesting such a relationshi
 p is the following: any deterministic hidden-variable theory that obeys no
 - signaling and gives non-local correlations must show randomness at the s
 urface\, i.e.\, the surface probabilities cannot be deterministic. This is
  the case in Bohmian mechanics but this result shows it to be generic.\n\n
 Lastly\, I intend to discuss monogamy and its relevance to foundations of 
 quantum mechanics. It has been known for a while that entanglement is mono
 gamous\, i.e.\, it can not be shared freely. I will extend the discussion 
 to the shareability and monogamy aspects\, not just of entanglement\, but 
 also of correlations.  It turns out that certain non-local quantum correla
 tions cannot be freely shared\, i.e. they are monogamous as well. This rai
 ses the question of how shareability (monogamy) of non-local correlations 
 and shareability (monogamy) of quantum entanglement are related. I will sh
 ow that they are related in a non-trivial\, subtle way. This allows for a 
 new - and hopefully illuminating- interpretation of the Bell theorem. This
  discussion will be extended from quantum correlations to monogamy aspects
  of more general correlations such as no-signaling and partially local cor
 relations.  \n
LOCATION:MR11\, Centre for Mathematical Sciences
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