Dynamic Simulation of Quantum Entanglement in Finite Quantum Mechanics: A Computer Algebra Approach

In this paper, we investigate the behavior of quantum entanglement in the process of unitary evolution in constructive models of multicomponent quantum systems. Symmetry groups of quantum systems that admit the occurrence of geometric structures associated with quantum entanglement are described. Al...

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Bibliographic Details
Published inProgramming and computer software Vol. 47; no. 2; pp. 124 - 132
Main Author Kornyak, V. V.
Format Journal Article
LanguageEnglish
Published Moscow Pleiades Publishing 01.03.2021
Springer Nature B.V
Subjects
Algorithms
Artificial Intelligence
Computer algebra
Computer Science
Computer simulation
Group theory
Hilbert space
Operating Systems
Quantum entanglement
Quantum mechanics
Quantum physics
Quantum theory
Software Engineering
Software Engineering/Programming and Operating Systems
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Summary:In this paper, we investigate the behavior of quantum entanglement in the process of unitary evolution in constructive models of multicomponent quantum systems. Symmetry groups of quantum systems that admit the occurrence of geometric structures associated with quantum entanglement are described. Algorithms for dynamic simulation of quantum entanglement are based on methods of computer algebra and computational group theory. Some examples of practical computations are presented.
ISSN:0361-7688
1608-3261
DOI:10.1134/S0361768821020067