Non-Kochen–Specker Contextuality

Pavičić, Mladen (2023) Non-Kochen–Specker Contextuality. Entropy, 25 (8). ISSN 1099-4300

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Abstract

Quantum contextuality supports quantum computation and communication. One of its main vehicles is hypergraphs. The most elaborated are the Kochen–Specker ones, but there is also another class of contextual sets that are not of this kind. Their representation has been mostly operator-based and limited to special constructs in three- to six-dim spaces, a notable example of which is the Yu-Oh set. Previously, we showed that hypergraphs underlie all of them, and in this paper, we give general methods—whose complexity does not scale up with the dimension—for generating such non-Kochen–Specker hypergraphs in any dimension and give examples in up to 16-dim spaces. Our automated generation is probabilistic and random, but the statistics of accumulated data enable one to filter out sets with the required size and structure.

Item Type:	Article
Uncontrolled Keywords:	quantum contextuality; hypergraph contextuality; MMP hypergraphs; operator contextuality; qutrits; Yu-Oh contextuality; random generation
Subjects:	NATURAL SCIENCES NATURAL SCIENCES > Physics NATURAL SCIENCES > Chemistry
Divisions:	Division of Experimental Physics
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:	Virna Brumnić
Date Deposited:	30 Mar 2026 07:32
URI:	http://fulir.irb.hr/id/eprint/11536
DOI:	10.3390/e25081117

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