Semi-device-independent self-testing of unsharp measurements
Unsharp quantum measurements provide a resource in scenarios where one faces the trade-off between information gain and disturbance. In this work we introduce a prepare-transform-measure scenario in which two-outcome unsharp measurements outperform their sharp counterparts, as well as any stochastic...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2020-07-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.2.033014 |
| _version_ | 1797211436164841472 |
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| author | Nikolai Miklin Jakub J. Borkała Marcin Pawłowski |
| author_facet | Nikolai Miklin Jakub J. Borkała Marcin Pawłowski |
| author_sort | Nikolai Miklin |
| collection | DOAJ |
| description | Unsharp quantum measurements provide a resource in scenarios where one faces the trade-off between information gain and disturbance. In this work we introduce a prepare-transform-measure scenario in which two-outcome unsharp measurements outperform their sharp counterparts, as well as any stochastic strategy involving dichotomic projective measurements. Based on that, we propose a scheme for semi-device-independent self-testing of unsharp measurements and show that all two-outcome qubit measurements can be characterized in a robust way. Along with the main result, in this work we introduce a method, based on semidefinite programming, for bounding quantum correlations in scenarios with sequential measurements of length 2. This method can also be applied to refine security analysis of the semi-device-independent one-way quantum key distribution. We also present an information gain–disturbance relation for pairs of dichotomic measurements. |
| first_indexed | 2024-04-24T10:26:27Z |
| format | Article |
| id | doaj.art-e652be93d45047d6aaed05ca2f471356 |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:26:27Z |
| publishDate | 2020-07-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-e652be93d45047d6aaed05ca2f4713562024-04-12T16:56:38ZengAmerican Physical SocietyPhysical Review Research2643-15642020-07-012303301410.1103/PhysRevResearch.2.033014Semi-device-independent self-testing of unsharp measurementsNikolai MiklinJakub J. BorkałaMarcin PawłowskiUnsharp quantum measurements provide a resource in scenarios where one faces the trade-off between information gain and disturbance. In this work we introduce a prepare-transform-measure scenario in which two-outcome unsharp measurements outperform their sharp counterparts, as well as any stochastic strategy involving dichotomic projective measurements. Based on that, we propose a scheme for semi-device-independent self-testing of unsharp measurements and show that all two-outcome qubit measurements can be characterized in a robust way. Along with the main result, in this work we introduce a method, based on semidefinite programming, for bounding quantum correlations in scenarios with sequential measurements of length 2. This method can also be applied to refine security analysis of the semi-device-independent one-way quantum key distribution. We also present an information gain–disturbance relation for pairs of dichotomic measurements.http://doi.org/10.1103/PhysRevResearch.2.033014 |
| spellingShingle | Nikolai Miklin Jakub J. Borkała Marcin Pawłowski Semi-device-independent self-testing of unsharp measurements Physical Review Research |
| title | Semi-device-independent self-testing of unsharp measurements |
| title_full | Semi-device-independent self-testing of unsharp measurements |
| title_fullStr | Semi-device-independent self-testing of unsharp measurements |
| title_full_unstemmed | Semi-device-independent self-testing of unsharp measurements |
| title_short | Semi-device-independent self-testing of unsharp measurements |
| title_sort | semi device independent self testing of unsharp measurements |
| url | http://doi.org/10.1103/PhysRevResearch.2.033014 |
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