Open quantum dynamics without Complete Positivity: a criticism
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866917508358864896 |
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| author | Benatti, Fabio Chruściński, Dariusz Pascazio, Saverio |
| author_facet | Benatti, Fabio Chruściński, Dariusz Pascazio, Saverio |
| contents | The requirement of complete positivity is very often regarded as a fundamental consistency condition for the description of open quantum dynamics. We critically examine this requirement and discuss both its physical motivations and its limitations. We analyze proposals based on restricting the domain of non-completely positive maps to subsets of compatible initial states. Using isotropic states as a concrete example, we show that such domain restrictions become increasingly severe with growing system dimension, revealing an intrinsic weakness of the compatibility-based approach. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_18639 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Open quantum dynamics without Complete Positivity: a criticism Benatti, Fabio Chruściński, Dariusz Pascazio, Saverio Quantum Physics Mathematical Physics The requirement of complete positivity is very often regarded as a fundamental consistency condition for the description of open quantum dynamics. We critically examine this requirement and discuss both its physical motivations and its limitations. We analyze proposals based on restricting the domain of non-completely positive maps to subsets of compatible initial states. Using isotropic states as a concrete example, we show that such domain restrictions become increasingly severe with growing system dimension, revealing an intrinsic weakness of the compatibility-based approach. |
| title | Open quantum dynamics without Complete Positivity: a criticism |
| topic | Quantum Physics Mathematical Physics |
| url | https://arxiv.org/abs/2605.18639 |