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The Entropic Dynamics Approach to Quantum Mechanics
Open AccessArticle

Hypergraph Contextuality

Center of Excellence for Advanced Materials and Sensors, Research Unit Photonics and Quantum Optics, Institute Ruder Bošković, Zagreb 10000, Croatia
Entropy 2019, 21(11), 1107; https://doi.org/10.3390/e21111107
Received: 14 October 2019 / Revised: 1 November 2019 / Accepted: 10 November 2019 / Published: 12 November 2019
(This article belongs to the Special Issue Entropy in Foundations of Quantum Physics)
Quantum contextuality is a source of quantum computational power and a theoretical delimiter between classical and quantum structures. It has been substantiated by numerous experiments and prompted generation of state independent contextual sets, that is, sets of quantum observables capable of revealing quantum contextuality for any quantum state of a given dimension. There are two major classes of state-independent contextual sets—the Kochen-Specker ones and the operator-based ones. In this paper, we present a third, hypergraph-based class of contextual sets. Hypergraph inequalities serve as a measure of contextuality. We limit ourselves to qutrits and obtain thousands of 3-dim contextual sets. The simplest of them involves only 5 quantum observables, thus enabling a straightforward implementation. They also enable establishing new entropic contextualities. View Full-Text
Keywords: quantum contextuality; hypergraph contextuality; MMP hypergraphs; operator contextuality; qutrits; Yu-Oh contextuality; Bengtsson-Blanchfield-Cabello contextuality; Xu-Chen-Su contextuality; entropic contextuality quantum contextuality; hypergraph contextuality; MMP hypergraphs; operator contextuality; qutrits; Yu-Oh contextuality; Bengtsson-Blanchfield-Cabello contextuality; Xu-Chen-Su contextuality; entropic contextuality
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Pavičić, M. Hypergraph Contextuality. Entropy 2019, 21, 1107.

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