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Hypergraph Contextuality

Pavičić, Mladen (2019) Hypergraph Contextuality. Entropy, 21 (11). ISSN 1099-4300

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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.

Item Type: Article
Uncontrolled Keywords: quantum contextuality ; hypergraph contextuality ; MMP hypergraphs ; operator contextuality ; qutrits ; Yu-Oh contextuality ; Bengtsson-Blanchfield-Cabello contextuality ; Xu-Chen-Su contextuality ; entropic contextuality
Subjects: NATURAL SCIENCES > Physics
Divisions: Center of Excellence for Advanced Materials and Sensing Devices
Project titleProject leaderProject codeProject type
Potpora vrhunskim istraživanjima Centra izvrsnosti za napredne materijale i senzore-Mile Ivanda; Milko Jakšić; Mario Stipčević; Marko KraljKK.
Depositing User: Sofija Konjević
Date Deposited: 09 Dec 2019 15:11
DOI: 10.3390/e21111107

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