Kochen-Specker contextuality

A central result in the foundations of quantum mechanics is the Kochen-Specker theorem. In short, it states that quantum mechanics is in conflict with classical models in which the result of a measurement does not depend on which other compatible measurements are jointly performed. Here compatible m...

Descripción completa

Detalles Bibliográficos
Autores: Budroni, Costantino, Cabello Quintero, Adán, Gühne, Otfried, Kleinmann, Matthias, Larsson, Jan Ake
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2022
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/144776
Acceso en línea:https://hdl.handle.net/11441/144776
https://doi.org/10.1103/RevModPhys.94.045007
Access Level:acceso abierto
Palabra clave:Kochen-Specker theorem
Quantum mechanics
Quantum contextuality
Descripción
Sumario:A central result in the foundations of quantum mechanics is the Kochen-Specker theorem. In short, it states that quantum mechanics is in conflict with classical models in which the result of a measurement does not depend on which other compatible measurements are jointly performed. Here compatible measurements are those that can be implemented simultaneously or, more generally, those that are jointly measurable. This conflict is generically called quantum contextuality. In this review, an introduction to this subject and its current status is presented. Several proofs of the Kochen-Specker theorem and different notions of contextuality are reviewed. How to experimentally test some of these notions is explained, and connections between contextuality and nonlocality or graph theory are discussed. Finally, some applications of contextuality in quantum information processing are reviewed.