Sequential random access codes and self-testing of quantum measurement instruments
Quantum random access codes (QRACs) are key tools for a variety of protocols in quantum information theory. These are commonly studied in prepare-and-measure scenarios in which a sender prepares states and a receiver measures them. Here, we consider a three-party prepare-transform-measure scenario i...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2019-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/ab3773 |
| _version_ | 1827872611392028672 |
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| author | Karthik Mohan Armin Tavakoli Nicolas Brunner |
| author_facet | Karthik Mohan Armin Tavakoli Nicolas Brunner |
| author_sort | Karthik Mohan |
| collection | DOAJ |
| description | Quantum random access codes (QRACs) are key tools for a variety of protocols in quantum information theory. These are commonly studied in prepare-and-measure scenarios in which a sender prepares states and a receiver measures them. Here, we consider a three-party prepare-transform-measure scenario in which the simplest QRAC is implemented twice in sequence based on the same physical system. We derive optimal trade-off relations between the two QRACs. We apply our results to construct semi-device independent self-tests of quantum instruments, i.e. measurement channels with both a classical and quantum output. Finally, we show how sequential QRACs enable inference of upper and lower bounds on the sharpness parameter of a quantum instrument. |
| first_indexed | 2024-03-12T16:26:14Z |
| format | Article |
| id | doaj.art-32a02b9edda1465d80487da635880e48 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:26:14Z |
| publishDate | 2019-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-32a02b9edda1465d80487da635880e482023-08-08T15:41:55ZengIOP PublishingNew Journal of Physics1367-26302019-01-0121808303410.1088/1367-2630/ab3773Sequential random access codes and self-testing of quantum measurement instrumentsKarthik Mohan0Armin Tavakoli1Nicolas Brunner2Département de Physique Appliquée, Université de Genève , CH-1211 Genève, SwitzerlandDépartement de Physique Appliquée, Université de Genève , CH-1211 Genève, SwitzerlandDépartement de Physique Appliquée, Université de Genève , CH-1211 Genève, SwitzerlandQuantum random access codes (QRACs) are key tools for a variety of protocols in quantum information theory. These are commonly studied in prepare-and-measure scenarios in which a sender prepares states and a receiver measures them. Here, we consider a three-party prepare-transform-measure scenario in which the simplest QRAC is implemented twice in sequence based on the same physical system. We derive optimal trade-off relations between the two QRACs. We apply our results to construct semi-device independent self-tests of quantum instruments, i.e. measurement channels with both a classical and quantum output. Finally, we show how sequential QRACs enable inference of upper and lower bounds on the sharpness parameter of a quantum instrument.https://doi.org/10.1088/1367-2630/ab3773random access codequantum correlationsself-testing |
| spellingShingle | Karthik Mohan Armin Tavakoli Nicolas Brunner Sequential random access codes and self-testing of quantum measurement instruments New Journal of Physics random access code quantum correlations self-testing |
| title | Sequential random access codes and self-testing of quantum measurement instruments |
| title_full | Sequential random access codes and self-testing of quantum measurement instruments |
| title_fullStr | Sequential random access codes and self-testing of quantum measurement instruments |
| title_full_unstemmed | Sequential random access codes and self-testing of quantum measurement instruments |
| title_short | Sequential random access codes and self-testing of quantum measurement instruments |
| title_sort | sequential random access codes and self testing of quantum measurement instruments |
| topic | random access code quantum correlations self-testing |
| url | https://doi.org/10.1088/1367-2630/ab3773 |
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