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01.08.2022

Decomposition of a Finite Quantum System into Subsystems: Symbolic–Numerical Approach

verfasst von: V. V. Kornyak

Erschienen in: Programming and Computer Software | Ausgabe 4/2022

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Abstract

Any Hilbert space with composite dimension can be represented as a tensor product of Hilbert spaces of lower dimensions. This factorization makes it possible to decompose a quantum system into subsystems. We propose a model based on finite quantum mechanics for the constructive study of decompositions of an isolated quantum system into subsystems. To study the behavior of the composite systems resulting from the decompositions, we develop algorithms based on methods of computer algebra and computational group theory.

Vorheriger Artikel Algorithm for Solving the Cauchy Problem for a Two-Dimensional Difference Equation with Initial Data Defined in a “Strip”

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Titel: Decomposition of a Finite Quantum System into Subsystems: Symbolic–Numerical Approach
verfasst von: V. V. Kornyak
Publikationsdatum: 01.08.2022
Verlag: Pleiades Publishing
Erschienen in: Programming and Computer Software / Ausgabe 4/2022
Print ISSN: 0361-7688
Elektronische ISSN: 1608-3261
DOI: https://doi.org/10.1134/S0361768822020062

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