Hypergraph Contextuality

Autor: Pavicic, Mladen
Rok vydání: 2019
Předmět:
Zdroj: Entropy 2019, 21(11), 1107
Druh dokumentu: Working Paper
DOI: 10.3390/e21111107
Popis: 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.
Comment: 15 pages, 6 figures, figures are positioned differently than in the paper - not where they are mentioned first, but where they are discussed the most
Databáze: arXiv
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