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quant-ph2026

No quantum solutions to linear constraint systems from monomial measurement-based quantum computation in odd prime dimension

Markus Frembs, Cihan Okay, Ho Yiu Chung

We combine the study of resources in measurement-based quantum computation (MBQC) with that of quantum solutions to linear constraint systems (LCS). Contextuality of the input stat…

quant-ph2026

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…

quant-ph2025

Double categories for adaptive quantum computation

Cihan Okay, Walker Stern, Redi Haderi +1

Quantum computation admits several models that emphasize different computational primitives and forms of classical control. We develop a unified double categorical framework for de…

quant-ph2025

Polyhedral Classical Simulators for Quantum Computation

Cihan Okay

Quantum advantage in computation refers to the existence of computational tasks that can be performed efficiently on a quantum computer but cannot be efficiently simulated on any c…

quant-ph2025

Phase space tableau simulation for quantum computation

Selman Ipek, Atak Talay Yucel, Farzad Shahi +2

We introduce a novel tableau-based classical simulation method for quantum computation, formulated within the phase space framework of the extended stabilizer theory of closed non-…

quant-ph2025

Simplicial methods in the resource theory of contextuality

Aziz Kharoof, Cihan Okay

We develop a resource theory of contextuality within the framework of symmetric monoidal categories, extending recent simplicial approaches to quantum contextuality. Building on th…