Decomposition of a Quantum System Into Subsystems in Finite Quantum Mechanics

TL;DR

This paper introduces a straightforward model for decomposing finite-dimensional quantum systems into subsystems by factorizing their Hilbert spaces, facilitating constructive analysis of such decompositions.

Contribution

It presents a simple, tractable model for the decomposition of quantum systems into subsystems within finite quantum mechanics.

Findings

Model enables constructive decomposition of quantum systems.

Facilitates analysis of subsystem structures in finite quantum mechanics.

Provides a practical approach for factorizing Hilbert spaces.

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.