Naslov
Hypergraph Contextuality

Autori
Pavičić, Mladen

Izvornik
Entropy (Basel. Online) (1099-4300) 21 (2019), 11; 1107, 20

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
quantum contextuality ; hypergraph contextuality ; MMP hypergraphs ; operator contextuality ; qutrits ; Yu-Oh contextuality ; Bengtsson-Blanchfield-Cabello contextuality ; Xu-Chen-Su contextuality ; entropic contextuality

Sažetak
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.

Izvorni jezik
Engleski

Znanstvena područja
Fizika

Napomena
Rad je prezentiran u videu objavljenom na Youtube-u. https://www.youtube.com/watch?v=ZuTUp7RLsfg&t=3s

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