You are cordially invited to the Topology Seminar organized by the Department of Mathematics.<\/p>\n
Speaker: Selman Ipek (Bilkent University)<\/p>\n
“Topological methods for studying contextuality and Bell inequalities”<\/p>\n
Abstract: Going 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 statistics using polyhedral geometry. From this geometric point of view a distribution is termed noncontextual if it lies within the convex hull of so-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 their generalization, the flower scenarios first introduced in [4]. We restrict our attention to outcomes in integers mod 2. Our proof techniques utilize topological notions, such as gluing and extension, together with a topological interpretation of Fourier-Motzkin elimination, a common technique used in polytope theory.
\nReferences:
\n[1] J.S. Bell, On the Einstein Podolsky Rosen Paradox [2] A. Fine, Hidden variables, joint probability, and the Bell inequalities [3] M. Froissart, Constructive generalization of Bell’s inequalities [4] Kharoof, et al. Topological methods for studying contextuality: N-cycle scenarios and beyond<\/p>\n
Date: Dec 2, Monday, 2024
\nTime: 13:30 UTC+3
\nPlace: ZOOM<\/p>\n
To request the event link, please send a message to cihan.okay@bilkent.edu.tr<\/a><\/p>\n","protected":false},"excerpt":{"rendered":" You are cordially invited to the Topology Seminar organized by the Department of Mathematics. Speaker: Selman Ipek (Bilkent University) “Topological methods for studying contextuality and Bell inequalities” Abstract: Going back to the seminal work of J.S. Bell [1], and later A. Fine [2] and M. Froissart [3], it is possible [\u2026] <\/p>\n