Quantum selective measurement as a quasilinear evolution
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866909053835280384 |
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| author | Rembieliński, Jakub Ławniczak, Karol |
| author_facet | Rembieliński, Jakub Ławniczak, Karol |
| contents | We propose replacing the instantaneous state reduction in von Neumann selective measurement with continuous nonlinear evolution. Despite its nonlinearity, this evolution preserves the equivalence of quantum ensembles and hence obeys the no-signaling principle. Its final states coincide with those produced by the von Neumann projection. The defining features of rank-one projective measurement are retained: convergence to the eigenstate of the observable associated with the selected outcome, independence of this final state from the initial state, and consistent action on entangled states. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_13739 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Quantum selective measurement as a quasilinear evolution Rembieliński, Jakub Ławniczak, Karol Quantum Physics We propose replacing the instantaneous state reduction in von Neumann selective measurement with continuous nonlinear evolution. Despite its nonlinearity, this evolution preserves the equivalence of quantum ensembles and hence obeys the no-signaling principle. Its final states coincide with those produced by the von Neumann projection. The defining features of rank-one projective measurement are retained: convergence to the eigenstate of the observable associated with the selected outcome, independence of this final state from the initial state, and consistent action on entangled states. |
| title | Quantum selective measurement as a quasilinear evolution |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2605.13739 |