Disentangling tensor product structures
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866909950114004992 |
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| author | Soulas, Antoine |
| author_facet | Soulas, Antoine |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_21173 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Disentangling tensor product structures Soulas, Antoine Mathematical Physics Quantum Physics 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. |
| title | Disentangling tensor product structures |
| topic | Mathematical Physics Quantum Physics |
| url | https://arxiv.org/abs/2506.21173 |