Extension of the Alberti-Uhlmann criterion beyond qubit dichotomies
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2019
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| _version_ | 1866929696116047872 |
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| author | Dall'Arno, Michele Buscemi, Francesco Scarani, Valerio |
| author_facet | Dall'Arno, Michele Buscemi, Francesco Scarani, Valerio |
| contents | The Alberti-Uhlmann criterion states that any given qubit dichotomy can be transformed into any other given qubit dichotomy by a quantum channel if and only if the testing region of the former dichotomy includes the testing region of the latter dichotomy. Here, we generalize the Alberti-Uhlmann criterion to the case of arbitrary number of qubit or qutrit states. We also derive an analogous result for the case of qubit or qutrit measurements with arbitrary number of elements. We demonstrate the possibility of applying our criterion in a semi-device independent way. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1910_04294 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Extension of the Alberti-Uhlmann criterion beyond qubit dichotomies Dall'Arno, Michele Buscemi, Francesco Scarani, Valerio Quantum Physics The Alberti-Uhlmann criterion states that any given qubit dichotomy can be transformed into any other given qubit dichotomy by a quantum channel if and only if the testing region of the former dichotomy includes the testing region of the latter dichotomy. Here, we generalize the Alberti-Uhlmann criterion to the case of arbitrary number of qubit or qutrit states. We also derive an analogous result for the case of qubit or qutrit measurements with arbitrary number of elements. We demonstrate the possibility of applying our criterion in a semi-device independent way. |
| title | Extension of the Alberti-Uhlmann criterion beyond qubit dichotomies |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/1910.04294 |