Hypergraph Contextuality

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

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Official URL: https://www.mdpi.com/1099-4300/21/11/1107

Abstract

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

Projects:

Project title	Project leader	Project code	Project type
Potpora vrhunskim istraživanjima Centra izvrsnosti za napredne materijale i senzore-	Mile Ivanda; Milko Jakšić; Mario Stipčević; Marko Kralj	KK.01.1.1.01.0001	EK

Depositing User:

Sofija Konjević

Date Deposited:

09 Dec 2019 15:11

URI:

http://fulir.irb.hr/id/eprint/5249

DOI:

10.3390/e21111107