Open AccessQuantum mereology in finite quantum mechanics
Author(s) -
Vladimir V. Kornyak
Publication year - 2021
Publication title -
discrete and continuous models and applied computational science
Language(s) - English
Resource type - Journals
eISSN - 2658-7149
pISSN - 2658-4670
DOI - 10.22363/2658-4670-2021-29-4-347-360
Subject(s) - sic povm , tensor product , hilbert space , povm , quantum , dimension (graph theory) , mathematics , quantum mechanics , tensor product of hilbert spaces , constructive , quantum process , pure mathematics , theoretical physics , physics , quantum dynamics , computer science , tensor contraction , process (computing) , operating system
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.