145 citations · 659 across the 43 of their papers we have counts for
5 papers · 1 filter
Classical simulation of universal measurement-based quantum computation using multipartite Bell scenarios
Cihan Okay, Atak Talay Yucel, Selman Ipek
We introduce a novel classical simulation algorithm based on non-signaling polytopes of multipartite Bell scenarios, capable of simulating universal measurement-based quantum compu…
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…
The Bloch--Kato conjecture, decomposing fields, and generating cohomology in degree one
Sunil K. Chebolu, Ján Mináč, Cihan Okay +2
The famous Bloch--Kato conjecture implies that for a field containing a primitive th root of unity, the cohomology ring of the absolute Galois group of with $\math…
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…