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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…
quant-ph2024
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…
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…