Exploring Quantum contextuality with the quantum Möbius-Escher-Penrose hypergraph
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F25%3A00383377" target="_blank" >RIV/68407700:21230/25:00383377 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1103/PhysRevA.111.042209" target="_blank" >https://doi.org/10.1103/PhysRevA.111.042209</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1103/PhysRevA.111.042209" target="_blank" >10.1103/PhysRevA.111.042209</a>
Alternative languages
Result language
angličtina
Original language name
Exploring Quantum contextuality with the quantum Möbius-Escher-Penrose hypergraph
Original language description
This paper presents the quantum Möbius-Escher-Penrose hypergraph, drawing inspiration from paradoxical constructs such as the Möbius strip and Penrose’s “impossible objects.” The hypergraph is constructed using faithful orthogonal representations in Hilbert space, thereby embedding the graph within a quantum framework. Additionally, a quasiclassical realization is achieved through two-valued states and partition logic, leading to an embedding within a Boolean algebra. This dual representation delineates the distinctions between classical and quantum embeddings, with a particular focus on contextuality, highlighted by violations of exclusivity and completeness, quantified through classical and quantum probabilities. The paper also examines violations of Boole’s conditions of possible experience using correlation polytopes, underscoring the inherent contextuality of the hypergraph. These results offer deeper insights into quantum contextuality and its intricate relationship with classical logic structures.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
PHYSICAL REVIEW A
ISSN
2469-9926
e-ISSN
2469-9934
Volume of the periodical
111
Issue of the periodical within the volume
4
Country of publishing house
US - UNITED STATES
Number of pages
8
Pages from-to
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UT code for WoS article
001491903800006
EID of the result in the Scopus database
2-s2.0-105003026900