Evolution of Classical and Quantum States in the Groupoid Picture of Quantum Mechanics

Autor:	Florio M. Ciaglia, Fabio Di Cosmo, Alberto Ibort, Giuseppe Marmo
Jazyk:	angličtina
Rok vydání:	2020
Předmět:	quantum mechanics entanglement Schwinger’s selective measurements composite systems groupoids picture of quantum mechanics groupoids Science Astrophysics QB460-466 Physics QC1-999
Zdroj:	Entropy, Vol 22, Iss 11, p 1292 (2020)
Druh dokumentu:	article
ISSN:	1099-4300 40809544
DOI:	10.3390/e22111292
Popis:	The evolution of states of the composition of classical and quantum systems in the groupoid formalism for physical theories introduced recently is discussed. It is shown that the notion of a classical system, in the sense of Birkhoff and von Neumann, is equivalent, in the case of systems with a countable number of outputs, to a totally disconnected groupoid with Abelian von Neumann algebra. The impossibility of evolving a separable state of a composite system made up of a classical and a quantum one into an entangled state by means of a unitary evolution is proven in accordance with Raggio’s theorem, which is extended to include a new family of separable states corresponding to the composition of a system with a totally disconnected space of outcomes and a quantum one.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/78db50e999db408095442cd2bd693abd Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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