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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Bibliographic Details
Published inDiscrete and continuous models and applied computational science Vol. 29; no. 4; pp. 347 - 360
Main Author Kornyak, Vladimir V.
Format Journal Article
LanguageEnglish
Published Peoples’ Friendship University of Russia (RUDN University) 15.12.2021
Subjects
closed quantum system
energy
finite quantum mechanics
quantum entanglement
quantum mereology
quantum subsystems
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Summary: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.
ISSN:2658-4670
2658-7149
DOI:10.22363/2658-4670-2021-29-4-347-360