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SUMMARY:Selman Ipek (Bilkent University)
DTSTART:20241202T103000Z
DTEND:20241202T113000Z
DTSTAMP:20260422T140237Z
UID:BilTop/97
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BilTop/97/">
 Topological methods for studying contextuality and Bell inequalities</a>\n
 by Selman Ipek (Bilkent University) as part of Bilkent Topology Seminar\n\
 nLecture held in SA 141.\n\nAbstract\nGoing back to the seminal work of J.
 S. Bell [1]\, and later A. Fine [2] and M. Froissart [3]\, it is possible 
 to study the separation between noncontextual and contextual measurement s
 tatistics using polyhedral geometry. From this geometric point of view a d
 istribution is termed noncontextual if it lies within the convex hull of s
 o-called deterministic distributions\, and contextual otherwise. The facet
  defining inequalities of this convex set are called Bell inequalities. In
  this talk we follow [4] and use the framework of simplicial distributions
  to derive Bell inequalities for the well-known N-cycle scenarios and thei
 r generalization\, the flower scenarios first introduced in [4]. We restri
 ct our attention to outcomes in integers mod 2. Our proof techniques utili
 ze topological notions\, such as gluing and extension\, together with a to
 pological interpretation of Fourier-Motzkin elimination\, a common techniq
 ue used in polytope theory.\nReferences:\n[1] J.S. Bell\, On the Einstein 
 Podolsky Rosen Paradox\n[2] A. Fine\, Hidden variables\, joint probability
 \, and the Bell inequalities\n[3] M. Froissart\, Constructive generalizati
 on of Bell's inequalities\n[4] Kharoof\, et al. Topological methods for st
 udying contextuality: N-cycle scenarios and beyond\n\n(This talk is part o
 f the reading seminar series on the theory and applications of simplicial 
 distributions.)\n
LOCATION:https://researchseminars.org/talk/BilTop/97/
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