Extension of the Alberti-Uhlmann criterion beyond qubit dichotomies
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 crit...
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| Format: | Article |
| Language: | English |
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Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften
2020-02-01
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| Series: | Quantum |
| Online Access: | https://quantum-journal.org/papers/q-2020-02-20-233/pdf/ |
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| _version_ | 1832098680360927232 |
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| author | Michele Dall'Arno Francesco Buscemi Valerio Scarani |
| author_facet | Michele Dall'Arno Francesco Buscemi Valerio Scarani |
| author_sort | Michele Dall'Arno |
| collection | DOAJ |
| description | 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 | Article |
| id | doaj-art-235116430577474191f3c3a659929c80 |
| institution | Kabale University |
| issn | 2521-327X |
| language | English |
| publishDate | 2020-02-01 |
| publisher | Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften |
| record_format | Article |
| series | Quantum |
| spelling | doaj-art-235116430577474191f3c3a659929c802025-02-05T09:36:34ZengVerein zur Förderung des Open Access Publizierens in den QuantenwissenschaftenQuantum2521-327X2020-02-01423310.22331/q-2020-02-20-23310.22331/q-2020-02-20-233Extension of the Alberti-Uhlmann criterion beyond qubit dichotomiesMichele Dall'ArnoFrancesco BuscemiValerio ScaraniThe 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.https://quantum-journal.org/papers/q-2020-02-20-233/pdf/ |
| spellingShingle | Michele Dall'Arno Francesco Buscemi Valerio Scarani Extension of the Alberti-Uhlmann criterion beyond qubit dichotomies Quantum |
| title | Extension of the Alberti-Uhlmann criterion beyond qubit dichotomies |
| title_full | Extension of the Alberti-Uhlmann criterion beyond qubit dichotomies |
| title_fullStr | Extension of the Alberti-Uhlmann criterion beyond qubit dichotomies |
| title_full_unstemmed | Extension of the Alberti-Uhlmann criterion beyond qubit dichotomies |
| title_short | Extension of the Alberti-Uhlmann criterion beyond qubit dichotomies |
| title_sort | extension of the alberti uhlmann criterion beyond qubit dichotomies |
| url | https://quantum-journal.org/papers/q-2020-02-20-233/pdf/ |
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