Measurement incompatibility cannot be stochastically distilled
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866913585422139392 |
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| author | Ku, Huan-Yu Hsieh, Chung-Yun Budroni, Costantino |
| author_facet | Ku, Huan-Yu Hsieh, Chung-Yun Budroni, Costantino |
| contents | We show that the incompatibility of a set of measurements cannot be increased by subjecting them to a filter, namely, by combining them with a device that post-selects the incoming states on a fixed outcome of a stochastic transformation. This result holds for several measures of incompatibility, such as those based on robustness and convex weight. Expanding these ideas to Einstein-Podolsky-Rosen steering experiments, we are able to solve the problem of the maximum steerability obtained with respect to the most general local filters in a way that allows for an explicit calculation of the filter operation. Moreover, our results generalize to nonphysical maps, i.e., positive but not completely positive linear maps. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_02252 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Measurement incompatibility cannot be stochastically distilled Ku, Huan-Yu Hsieh, Chung-Yun Budroni, Costantino Quantum Physics We show that the incompatibility of a set of measurements cannot be increased by subjecting them to a filter, namely, by combining them with a device that post-selects the incoming states on a fixed outcome of a stochastic transformation. This result holds for several measures of incompatibility, such as those based on robustness and convex weight. Expanding these ideas to Einstein-Podolsky-Rosen steering experiments, we are able to solve the problem of the maximum steerability obtained with respect to the most general local filters in a way that allows for an explicit calculation of the filter operation. Moreover, our results generalize to nonphysical maps, i.e., positive but not completely positive linear maps. |
| title | Measurement incompatibility cannot be stochastically distilled |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2308.02252 |