145 citations · 659 across the 43 of their papers we have counts for
4 papers · 1 filter
Simplicial distributions, convex categories and contextuality
Aziz Kharoof, Cihan Okay
The data of a physical experiment can be represented as a presheaf of probability distributions. A striking feature of quantum theory is that those probability distributions obtain…
Mermin polytopes in quantum computation and foundations
Cihan Okay, Ho Yiu Chung, Selman Ipek
Mermin square scenario provides a simple proof for state-independent contextuality. In this paper, we study polytopes obtained from the Mermin scenario, parametrized…
No quantum solutions to linear constraint systems in odd dimension from Pauli group and diagonal Cliffords
Markus Frembs, Cihan Okay, Ho Yiu Chung
Linear constraint systems (LCS) have proven to be a surprisingly prolific tool in the study of non-classical correlations and various related issues in quantum foundations. Many re…
Simplicial quantum contextuality
Cihan Okay, Aziz Kharoof, Selman Ipek
We introduce a new framework for contextuality based on simplicial sets, combinatorial models of topological spaces that play a prominent role in modern homotopy theory. Our approa…