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arXiv · 2506.21173

Disentangling tensor product structures

Antoine Soulas
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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.

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Antoine Soulas. 2025-06-26. Disentangling tensor product structures. https://arxiv.org/abs/2506.21173

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