Device-independent and semi-device-independent entanglement certification in broadcast Bell scenarios
It has recently been shown that by broadcasting the subsystems of a bipartite quantum state, one can activate Bell nonlocality and significantly improve noise tolerance bounds for device-independent entanglement certification. In this work we strengthen these results and explore new aspects of this...
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| Format: | Article |
| Language: | English |
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SciPost
2023-04-01
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| Series: | SciPost Physics Core |
| Online Access: | https://scipost.org/SciPostPhysCore.6.2.028 |
| _version_ | 1797848806569541632 |
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| author | Emanuel-Cristian Boghiu, Flavien Hirsch, Pei-Sheng Lin, Marco Túlio Quintino, Joseph Bowles |
| author_facet | Emanuel-Cristian Boghiu, Flavien Hirsch, Pei-Sheng Lin, Marco Túlio Quintino, Joseph Bowles |
| author_sort | Emanuel-Cristian Boghiu, Flavien Hirsch, Pei-Sheng Lin, Marco Túlio Quintino, Joseph Bowles |
| collection | DOAJ |
| description | It has recently been shown that by broadcasting the subsystems of a bipartite quantum state, one can activate Bell nonlocality and significantly improve noise tolerance bounds for device-independent entanglement certification. In this work we strengthen these results and explore new aspects of this phenomenon. First, we prove new results related to the activation of Bell nonlocality. We construct Bell inequalities tailored to the broadcast scenario, and show how broadcasting can lead to even stronger notions of Bell nonlocality activation. In particular, we exploit these ideas to show that bipartite states admitting a local hidden-variable model for general measurements can lead to genuine tripartite nonlocal correlations. We then study device-independent entanglement certification in the broadcast scenario, and show through semidefinite programming techniques that device-independent entanglement certification is possible for the two-qubit Werner state in essentially the entire range of entanglement. Finally, we extend the concept of EPR steering to the broadcast scenario, and present novel examples of activation of the two-qubit isotropic state. Our results pave the way for broadcast-based device-independent and semi-device-independent protocols. |
| first_indexed | 2024-04-09T18:34:40Z |
| format | Article |
| id | doaj.art-d5b4e2c862964fe19dea9980de269dd2 |
| institution | Directory Open Access Journal |
| issn | 2666-9366 |
| language | English |
| last_indexed | 2024-04-09T18:34:40Z |
| publishDate | 2023-04-01 |
| publisher | SciPost |
| record_format | Article |
| series | SciPost Physics Core |
| spelling | doaj.art-d5b4e2c862964fe19dea9980de269dd22023-04-11T15:04:25ZengSciPostSciPost Physics Core2666-93662023-04-016202810.21468/SciPostPhysCore.6.2.028Device-independent and semi-device-independent entanglement certification in broadcast Bell scenariosEmanuel-Cristian Boghiu, Flavien Hirsch, Pei-Sheng Lin, Marco Túlio Quintino, Joseph BowlesIt has recently been shown that by broadcasting the subsystems of a bipartite quantum state, one can activate Bell nonlocality and significantly improve noise tolerance bounds for device-independent entanglement certification. In this work we strengthen these results and explore new aspects of this phenomenon. First, we prove new results related to the activation of Bell nonlocality. We construct Bell inequalities tailored to the broadcast scenario, and show how broadcasting can lead to even stronger notions of Bell nonlocality activation. In particular, we exploit these ideas to show that bipartite states admitting a local hidden-variable model for general measurements can lead to genuine tripartite nonlocal correlations. We then study device-independent entanglement certification in the broadcast scenario, and show through semidefinite programming techniques that device-independent entanglement certification is possible for the two-qubit Werner state in essentially the entire range of entanglement. Finally, we extend the concept of EPR steering to the broadcast scenario, and present novel examples of activation of the two-qubit isotropic state. Our results pave the way for broadcast-based device-independent and semi-device-independent protocols.https://scipost.org/SciPostPhysCore.6.2.028 |
| spellingShingle | Emanuel-Cristian Boghiu, Flavien Hirsch, Pei-Sheng Lin, Marco Túlio Quintino, Joseph Bowles Device-independent and semi-device-independent entanglement certification in broadcast Bell scenarios SciPost Physics Core |
| title | Device-independent and semi-device-independent entanglement certification in broadcast Bell scenarios |
| title_full | Device-independent and semi-device-independent entanglement certification in broadcast Bell scenarios |
| title_fullStr | Device-independent and semi-device-independent entanglement certification in broadcast Bell scenarios |
| title_full_unstemmed | Device-independent and semi-device-independent entanglement certification in broadcast Bell scenarios |
| title_short | Device-independent and semi-device-independent entanglement certification in broadcast Bell scenarios |
| title_sort | device independent and semi device independent entanglement certification in broadcast bell scenarios |
| url | https://scipost.org/SciPostPhysCore.6.2.028 |
| work_keys_str_mv | AT emanuelcristianboghiuflavienhirschpeishenglinmarcotulioquintinojosephbowles deviceindependentandsemideviceindependententanglementcertificationinbroadcastbellscenarios |