5 papers
Possibilistic collapse and extremality of simplicial distributions
Aziz Kharoof, Cihan Okay
Consistent families of locally defined probability distributions that do not admit a joint global distribution are known as contextual, with primary examples arising in quantum the…
Vertex structure of fiber products of probability polytopes
Aziz Kharoof, Cihan Okay
We develop tools for characterizing vertices of fiber products of polytopes and apply them to simplicial distribution polytopes, a class of probability polytopes arising in quantum…
Extremal simplicial distributions on cycle scenarios with arbitrary outcomes
Aziz Kharoof, Cihan Okay, Selman Ipek
Cycle scenarios are a significant class of contextuality scenarios, with the Clauser-Horne-Shimony-Holt (CHSH) scenario being a notable example. While binary outcome measurements i…
Simplicial methods in the resource theory of contextuality
Aziz Kharoof, Cihan Okay
We develop a resource theory of contextuality within the framework of symmetric monoidal categories, extending recent simplicial approaches to quantum contextuality. Building on th…
The geometry of simplicial distributions on suspension scenarios
Aziz Kharoof
Quantum measurements often exhibit non-classical features, such as contextuality, which generalizes Bell's non-locality and serves as a resource in various quantum computation mode…