Device-independent quantification of measurement incompatibility
Incompatible measurements, i.e., measurements that cannot be simultaneously performed, are necessary to observe nonlocal correlations. It is natural to ask, e.g., how incompatible the measurements have to be to achieve a certain violation of a Bell inequality. In this paper, we provide the direct li...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2021-05-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.3.023143 |
| _version_ | 1797210972280061952 |
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| author | Shin-Liang Chen Nikolai Miklin Costantino Budroni Yueh-Nan Chen |
| author_facet | Shin-Liang Chen Nikolai Miklin Costantino Budroni Yueh-Nan Chen |
| author_sort | Shin-Liang Chen |
| collection | DOAJ |
| description | Incompatible measurements, i.e., measurements that cannot be simultaneously performed, are necessary to observe nonlocal correlations. It is natural to ask, e.g., how incompatible the measurements have to be to achieve a certain violation of a Bell inequality. In this paper, we provide the direct link between Bell nonlocality and the quantification of measurement incompatibility. This includes quantifiers for both incompatible and genuine-multipartite incompatible measurements. Our method straightforwardly generalizes to include constraints on the system's dimension (semi-device-independent approach) and on projective measurements, providing improved bounds on incompatibility quantifiers, and to include the prepare-and-measure scenario. |
| first_indexed | 2024-04-24T10:19:05Z |
| format | Article |
| id | doaj.art-117330923c4d4613b48820125c03f356 |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:19:05Z |
| publishDate | 2021-05-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-117330923c4d4613b48820125c03f3562024-04-12T17:10:07ZengAmerican Physical SocietyPhysical Review Research2643-15642021-05-013202314310.1103/PhysRevResearch.3.023143Device-independent quantification of measurement incompatibilityShin-Liang ChenNikolai MiklinCostantino BudroniYueh-Nan ChenIncompatible measurements, i.e., measurements that cannot be simultaneously performed, are necessary to observe nonlocal correlations. It is natural to ask, e.g., how incompatible the measurements have to be to achieve a certain violation of a Bell inequality. In this paper, we provide the direct link between Bell nonlocality and the quantification of measurement incompatibility. This includes quantifiers for both incompatible and genuine-multipartite incompatible measurements. Our method straightforwardly generalizes to include constraints on the system's dimension (semi-device-independent approach) and on projective measurements, providing improved bounds on incompatibility quantifiers, and to include the prepare-and-measure scenario.http://doi.org/10.1103/PhysRevResearch.3.023143 |
| spellingShingle | Shin-Liang Chen Nikolai Miklin Costantino Budroni Yueh-Nan Chen Device-independent quantification of measurement incompatibility Physical Review Research |
| title | Device-independent quantification of measurement incompatibility |
| title_full | Device-independent quantification of measurement incompatibility |
| title_fullStr | Device-independent quantification of measurement incompatibility |
| title_full_unstemmed | Device-independent quantification of measurement incompatibility |
| title_short | Device-independent quantification of measurement incompatibility |
| title_sort | device independent quantification of measurement incompatibility |
| url | http://doi.org/10.1103/PhysRevResearch.3.023143 |
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