2024-01-292024-01-292019-02-12Xu, Z. y Cabello Quintero, A. (2019). Necessary and sufficient condition for contextuality from incompatibility. Physical Review A (atomic, molecular, and optical physics and quantum information), 99 (2), 020103-1-020103-7. https://doi.org/10.1103/PhysRevA.99.020103.2469-99262469-9934https://hdl.handle.net/11441/154110Measurement incompatibility is the most basic resource that distinguishes quantum from classical physics. Contextuality is the critical resource behind the power of some models of quantum computation and is also a necessary ingredient for many applications in quantum information. A fundamental problem is thus identifying when incompatibility produces contextuality. Here, we show that, given a structure of incompatibility characterized by a graph in which nonadjacent vertices represent incompatible ideal measurements, the necessary and sufficient condition for the existence of a quantum realization producing contextuality is that this graph contains induced cycles of size larger than three.application/pdf7 p.engAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/ContextualityIncompatibilityinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccess10.1103/PhysRevA.99.020103