Quantum mereology in finite quantum mechanics

Any Hilbert space with composite dimension can be factored into a tensor product of smaller Hilbert spaces. This allows us to decompose a quantum system into subsystems. We propose a model based on finite quantum mechanics for a constructive study of such decompositions.

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Autor principal:	Vladimir V. Kornyak
Formato:	article
Lenguaje:	EN
Publicado:	Peoples’ Friendship University of Russia (RUDN University) 2021
Materias:	quantum mereology closed quantum system quantum subsystems finite quantum mechanics quantum entanglement energy Electronic computers. Computer science QA75.5-76.95
Acceso en línea:	https://doaj.org/article/9750d12d62b84f3ebfb263bb03d7a195
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id	oai:doaj.org-article:9750d12d62b84f3ebfb263bb03d7a195
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spelling	oai:doaj.org-article:9750d12d62b84f3ebfb263bb03d7a1952021-11-12T15:18:25ZQuantum mereology in finite quantum mechanics2658-46702658-714910.22363/2658-4670-2021-29-4-347-360https://doaj.org/article/9750d12d62b84f3ebfb263bb03d7a1952021-12-01T00:00:00Zhttp://journals.rudn.ru/miph/article/viewFile/29428/20003https://doaj.org/toc/2658-4670https://doaj.org/toc/2658-7149Any Hilbert space with composite dimension can be factored into a tensor product of smaller Hilbert spaces. This allows us to decompose a quantum system into subsystems. We propose a model based on finite quantum mechanics for a constructive study of such decompositions.Vladimir V. KornyakPeoples’ Friendship University of Russia (RUDN University)articlequantum mereologyclosed quantum systemquantum subsystemsfinite quantum mechanicsquantum entanglementenergyElectronic computers. Computer scienceQA75.5-76.95ENDiscrete and Continuous Models and Applied Computational Science, Vol 29, Iss 4, Pp 347-360 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	quantum mereology closed quantum system quantum subsystems finite quantum mechanics quantum entanglement energy Electronic computers. Computer science QA75.5-76.95
spellingShingle	quantum mereology closed quantum system quantum subsystems finite quantum mechanics quantum entanglement energy Electronic computers. Computer science QA75.5-76.95 Vladimir V. Kornyak Quantum mereology in finite quantum mechanics
description	Any Hilbert space with composite dimension can be factored into a tensor product of smaller Hilbert spaces. This allows us to decompose a quantum system into subsystems. We propose a model based on finite quantum mechanics for a constructive study of such decompositions.
format	article
author	Vladimir V. Kornyak
author_facet	Vladimir V. Kornyak
author_sort	Vladimir V. Kornyak
title	Quantum mereology in finite quantum mechanics
title_short	Quantum mereology in finite quantum mechanics
title_full	Quantum mereology in finite quantum mechanics
title_fullStr	Quantum mereology in finite quantum mechanics
title_full_unstemmed	Quantum mereology in finite quantum mechanics
title_sort	quantum mereology in finite quantum mechanics
publisher	Peoples’ Friendship University of Russia (RUDN University)
publishDate	2021
url	https://doaj.org/article/9750d12d62b84f3ebfb263bb03d7a195
work_keys_str_mv	AT vladimirvkornyak quantummereologyinfinitequantummechanics
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Quantum mereology in finite quantum mechanics

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