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SUMMARY:General probabilistic theories on arbitrary causal structures - Ra
 ymond Lal (University of Oxford)
DTSTART:20140508T140000Z
DTEND:20140508T150000Z
UID:TALK52536@talks.cam.ac.uk
CONTACT:William Matthews
DESCRIPTION:Quantum correlations which violate Bell inequalities cannot be
  recovered using classical random variables that are assigned to a certain
  background causal structure. Moreover\, Tsirelson's bound demonstrates a 
 separation between quantum correlations and those achievable by an arbitra
 ry no-signalling theory.  However\, one can consider causal structures oth
 er than that of the usual Bell setup. We investigate quantum correlations 
 from this more general perspective\, particularly in relation to Pearl's i
 nfluential work on causality and probabilistic reasoning\, which uses the 
 formalism of Bayesian networks. We extend this formalism to the setting of
  generalised probabilistic theories\, and show that the classical d-separa
 tion theorem extends to our setting. We also explore how classical\, quant
 um and general probabilistic theories separate for other causal structures
 \; and also when all three sets coincide.
LOCATION:MR4\,  Centre for Mathematical Sciences\, Wilberforce Road\, Camb
 ridge
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