145 citations · 659 across the 43 of their papers we have counts for
8 papers · 1 filter
On the rank of two-dimensional simplicial distributions
Cihan Okay
Simplicial distributions provide a framework for studying quantum contextuality, a generalization of Bell's non-locality. Understanding extremal simplicial distributions is of fund…
The degenerate vertices of the -qubit -polytope and their update rules
Selman Ipek, Cihan Okay
Recently, a class of objects, known as -polytopes, were introduced for classically simulating universal quantum computation with magic states. In -simulation, the probabilist…
Homotopical characterization of strongly contextual simplicial distributions on cone spaces
Aziz Kharoof, Cihan Okay
This paper offers a novel homotopical characterization of strongly contextual simplicial distributions with binary outcomes, specifically those defined on the cone of a 1-dimension…
Equivariant simplicial distributions and quantum contextuality
Cihan Okay, Igor Sikora
We introduce an equivariant version of contextuality with respect to a symmetry group, which comes with natural applications to quantum theory. In the equivariant setting, we const…
A bundle perspective on contextuality: Empirical models and simplicial distributions on bundle scenarios
Rui Soares Barbosa, Aziz Kharoof, Cihan Okay
This paper provides a bundle perspective to contextuality by introducing new categories of contextuality scenarios based on bundles of simplicial complexes and simplicial sets. The…
Topological methods for studying contextuality: -cycle scenarios and beyond
Aziz Kharoof, Selman Ipek, Cihan Okay
Simplicial distributions are combinatorial models describing distributions on spaces of measurements and outcomes that generalize non-signaling distributions on contextuality scena…