Disentangling tensor product structures

Abstract: As a contribution to the field of quantum mereology, we study how a change of tensor productstructure in a finite-dimensional Hilbert space affects its entanglement properties. In particular, we askwhether, given a time-evolving state, there exists a tensor product structure in which no entanglementis generated. We give a concrete, constructive example of disentangling tensor product structure in thecase of a C-NOT gate evolution between two qbits, before showing that this cannot be achieved for mosttime-evolving quantum states.