Twelve-dimensional Pauli group contextuality

2012/01/26 by Michel Planat, Planat, Michel
Computer Science · Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #FOS: Physical sciences #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #quant-ph

paper · pdf · doi:10.48550/arxiv.1201.5455

expanded version

openalex publication_date 2012/01/26 · arxiv created 2012/02/01 · arxiv updated 2012/02/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The goal of the paper is to check whether the real eigenstates of the observables in the single qudit Pauli group may lead to quantum contextuality, the property that mutually compatible and independent experiments depend on each other. We find that quantum contextuality crops up at dimension twelve in various configurations with a few rays. We use the Shannon capacity for characterizing the corresponding orthogonality graphs. Some arithmetical properties underlying the qudit contextuality are outlined.

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