Chromatic Quantum Contextuality

• URL: http://arxiv.org/abs/2501.15261v2
• Date: Sun, 02 Feb 2025 16:43:48 GMT
• Title: Chromatic Quantum Contextuality
• Authors: Karl Svozil,
• Abstract summary: We show that the Yu-Oh hypergraph exhibits chromatic contextuality even when separable two-valued states exist. Our findings underscore hypergraph coloring as a powerful framework for identifying quantum signatures.
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• Abstract: Chromatic quantum contextuality is a criterion for quantum nonclassicality characterized by (hyper)graph coloring constraints. By examining the 3-uniform Yu-Oh hypergraph -- a configuration of quantum observables -- we prove its chromatic number exceeds the classical three-color limit. This result establishes chromatic contextuality as a distinct form of quantum nonclassicality, diverging from Kochen-Specker-type arguments that rely on the absence of two-valued states. Crucially, the Yu-Oh hypergraph exhibits this behavior even when separable two-valued states exist, demonstrating that chromatic contextuality operates independently of traditional noncontextuality violations. Our findings underscore hypergraph coloring as a powerful framework for identifying quantum signatures, enriching the understanding of contextuality beyond conventional paradigms.

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