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CATEGORIES:philosophy
SUMMARY: Monogamy\, entanglement and deep hidden variables
  - Dr Michael Seevinck (Utrecht)
DTSTART;TZID=Europe/London:20090212T140000
DTEND;TZID=Europe/London:20090212T150000
UID:TALK17042AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/17042
DESCRIPTION:Despite over 40 years of research on Bell-type ine
 qualities\, the\nquestion of non-locality and enta
 nglement\, new technical results that have\ngenera
 l foundational relevance can still be obtained. In
  this talk I will\npresent a number of new results
  that deal with the question of how to\ndiscern lo
 cal\, quantum and no-signaling correlations.\n\nI 
 will first introduce some technical results that d
 eal with novel quantum\ninequalities that strength
 en the Tsirelson inequalities and non-trivial\nno-
 signaling inequalities that discern no-signaling c
 orrelations from\ngeneral correlations. The latter
  have striking similarity with the\nwell-known CHS
 H inequality\, yet they are crucially different.\n
 \nNext I will show interesting relationships that 
 exist between inferences on\nthe surface and subsu
 rface level of a hidden variable theory. Here the\
 nsurface level deals with experimentally accessibl
 e probabilities (e.g.\, via\nrelative frequencies)
  and the sub-surface level deals with probabilitie
 s\nthat are conditioned on a hidden-variable (or t
 he quantum state). The most\ninteresting such a re
 lationship is the following: any deterministic\nhi
 dden-variable theory that obeys no- signaling and 
 gives non-local\ncorrelations must show randomness
  at the surface\, i.e.\, the surface\nprobabilitie
 s cannot be deterministic. This is the case in Boh
 mian mechanics\nbut this result shows it to be gen
 eric.\n\nLastly\, I intend to discuss monogamy and
  its relevance to foundations of\nquantum mechanic
 s. It has been known for a while that entanglement
  is\nmonogamous\, i.e.\, it can not be shared free
 ly. I will extend the discussion\nto the shareabil
 ity and monogamy aspects\, not just of entanglemen
 t\, but also\nof correlations. It turns out that c
 ertain non-local quantum correlations\ncannot be f
 reely shared\, i.e. they are monogamous as well. T
 his raises the\nquestion of how shareability (mono
 gamy) of non-local correlations and\nshareability 
 (monogamy) of quantum entanglement are related. I 
 will show\nthat they are related in a non-trivial\
 , subtle way. This allows for a new -\nand hopeful
 ly illuminating- interpretation of the Bell theore
 m. This\ndiscussion will be extended from quantum 
 correlations to monogamy aspects of\nmore general 
 correlations such as no-signaling and partially lo
 cal\ncorrelations.\n\nThroughout the talk I will s
 how how these topics are related\,\nand comment on
  the foundational impact of the results obtained. 
LOCATION:Center for Mathematical Sciences\, Lecture room MR
 11
CONTACT:Berry Groisman
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