Discrimination and certification of unknown quantum measurements
We study the discrimination of von Neumann measurements in the scenario when we are given a reference measurement and some other measurement. The aim of the discrimination is to determine whether the other measurement is the same as the first one. We consider the cases when the reference measurement...
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| Format: | Article |
| Language: | English |
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Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften
2024-02-01
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| Series: | Quantum |
| Online Access: | https://quantum-journal.org/papers/q-2024-02-29-1269/pdf/ |
| _version_ | 1797253773505069056 |
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| author | Aleksandra Krawiec Łukasz Pawela Zbigniew Puchała |
| author_facet | Aleksandra Krawiec Łukasz Pawela Zbigniew Puchała |
| author_sort | Aleksandra Krawiec |
| collection | DOAJ |
| description | We study the discrimination of von Neumann measurements in the scenario when we are given a reference measurement and some other measurement. The aim of the discrimination is to determine whether the other measurement is the same as the first one. We consider the cases when the reference measurement is given without the classical description and when its classical description is known. Both cases are studied in the symmetric and asymmetric discrimination setups. Moreover, we provide optimal certification schemes enabling us to certify a known quantum measurement against the unknown one. |
| first_indexed | 2024-03-07T19:16:03Z |
| format | Article |
| id | doaj.art-61e69559841d4881a754f5757d41ca4c |
| institution | Directory Open Access Journal |
| issn | 2521-327X |
| language | English |
| last_indexed | 2024-04-24T21:39:23Z |
| publishDate | 2024-02-01 |
| publisher | Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften |
| record_format | Article |
| series | Quantum |
| spelling | doaj.art-61e69559841d4881a754f5757d41ca4c2024-03-21T09:20:12ZengVerein zur Förderung des Open Access Publizierens in den QuantenwissenschaftenQuantum2521-327X2024-02-018126910.22331/q-2024-02-29-126910.22331/q-2024-02-29-1269Discrimination and certification of unknown quantum measurementsAleksandra KrawiecŁukasz PawelaZbigniew PuchałaWe study the discrimination of von Neumann measurements in the scenario when we are given a reference measurement and some other measurement. The aim of the discrimination is to determine whether the other measurement is the same as the first one. We consider the cases when the reference measurement is given without the classical description and when its classical description is known. Both cases are studied in the symmetric and asymmetric discrimination setups. Moreover, we provide optimal certification schemes enabling us to certify a known quantum measurement against the unknown one.https://quantum-journal.org/papers/q-2024-02-29-1269/pdf/ |
| spellingShingle | Aleksandra Krawiec Łukasz Pawela Zbigniew Puchała Discrimination and certification of unknown quantum measurements Quantum |
| title | Discrimination and certification of unknown quantum measurements |
| title_full | Discrimination and certification of unknown quantum measurements |
| title_fullStr | Discrimination and certification of unknown quantum measurements |
| title_full_unstemmed | Discrimination and certification of unknown quantum measurements |
| title_short | Discrimination and certification of unknown quantum measurements |
| title_sort | discrimination and certification of unknown quantum measurements |
| url | https://quantum-journal.org/papers/q-2024-02-29-1269/pdf/ |
| work_keys_str_mv | AT aleksandrakrawiec discriminationandcertificationofunknownquantummeasurements AT łukaszpawela discriminationandcertificationofunknownquantummeasurements AT zbigniewpuchała discriminationandcertificationofunknownquantummeasurements |