3 papers
quant-ph2024
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…
math.AT2024
Homotopy types of diagrams of chain complexes
David Blanc, Surojit Ghosh, Aziz Kharoof
We study the homotopy theory of diagrams of chain complexes over a field indexed by a finite poset, and show that it can be completely described in terms of appropriate diagrams of…
math.CT2023
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…