Decomposition of a Quantum System Into Subsystems in Finite Quantum Mechanics

2021/04/24 by Vladimir V. Kornyak, Kornyak, Vladimir V.
Computer Science · Physics and Astronomy · #FOS: Computer and information sciences #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #Quantum many-body systems #Symbolic Computation (cs.SC) #cs.SC #hep-th #quant-ph

paper · pdf · doi:10.48550/arxiv.2104.11992

8 pages, extended abstract for PCA '2021, April 19-24, 2021, St.Petersburg

arxiv created 2021/04/24 · openalex publication_date 2021/04/24 · arxiv updated 2021/04/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Any Hilbert space with composite dimension can be factorized into a tensor product of smaller Hilbert spaces. This allows to decompose a quantum system into subsystems. We propose a simple tractable model for a constructive study of decompositions of quantum systems.

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