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Quantum mereology in finite quantum mechanics

1 Citations•2021•
V. Kornyak
Discrete and Continuous Models and Applied Computational Science

A model based on finite quantum mechanics for a constructive study of decompositions of quantum systems based on Hilbert spaces with composite dimension is proposed.

Abstract

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.