6 papers
Classical simulation of universal measurement-based quantum computation using multipartite Bell scenarios
Cihan Okay, Atak Talay Yucel, Selman Ipek
We introduce a new classical simulation algorithm based on non-signaling polytopes of multipartite Bell scenarios, capable of simulating universal measurement-based quantum computa…
Twisted simplicial distributions
Cihan Okay, Walker H. Stern
We introduce a theory of twisted simplicial distributions on simplicial principal bundles, which allow us to capture Bell's non-locality, and the more general notion of quantum con…
The operadic theory of convexity
Redi Haderi, Cihan Okay, Walker H. Stern
In this article, we characterize convexity in terms of algebras over a PROP, and establish a tensor-product-like symmetric monoidal structure on the category of convex sets. Using…
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…
Simplicial techniques for operator solutions of linear constraint systems
Ho Yiu Chung, Cihan Okay, Igor Sikora
A linear constraint system is specified by linear equations over the group $\ZZ_d$ of integers modulo . Their operator solutions play an important role in the study of quantum c…