Quantum mereology in finite quantum mechanics

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.

Keywords

• quantum mereology
• closed quantum system
• quantum subsystems
• finite quantum mechanics
• quantum entanglement
• energy