Disentangling tensor product structures
Mathematical Physics
2025-12-10 v2 math.MP
Quantum Physics
Abstract
As a contribution to the field of quantum mereology, we study how a change of tensor product structure in a finite-dimensional Hilbert space affects its entanglement properties. In particular, we ask whether, given a time-evolving state, there exists a tensor product structure in which no entanglement is generated. We give a concrete, constructive example of disentangling tensor product structure in the case of a C-NOT gate evolution between two qbits, before showing that this cannot be achieved for most time-evolving quantum states.
Cite
@article{arxiv.2506.21173,
title = {Disentangling tensor product structures},
author = {Antoine Soulas},
journal= {arXiv preprint arXiv:2506.21173},
year = {2025}
}