Device-independent and semi-device-independent entanglement certification in broadcast Bell scenarios
Emanuel-Cristian Boghiu, Flavien Hirsch, Pei-Sheng Lin, Marco Túlio Quintino, Joseph Bowles
SciPost Phys. Core 6, 028 (2023) · published 11 April 2023
- doi: 10.21468/SciPostPhysCore.6.2.028
- Submissions/Reports
Abstract
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.
Cited by 2
Authors / Affiliations: mappings to Contributors and Organizations
See all Organizations.- 1 Emanuel-Cristian Boghiu,
- 2 Flavien Hirsch,
- 3 Pei-Sheng Lin,
- 2 4 5 Marco Túlio Quintino,
- 1 Joseph Bowles
- 1 Institut de Ciències Fotòniques / Institute of Photonic Sciences [ICFO]
- 2 Institut für Quantenoptik und Quanteninformation Wien / Institute for Quantum Optics and Quantum Information Vienna [IQOQI Vienna]
- 3 國立成功大學 / National Cheng Kung University [NCKU]
- 4 Universität Wien / University of Vienna
- 5 Sorbonne Université / Sorbonne University
- AXA Research Fund
- Agencia Estatal de Investigación
- Austrian Science Fund (FWF) (through Organization: Fonds zur Förderung der wissenschaftlichen Forschung / FWF Austrian Science Fund [FWF])
- Bundesministerium für Bildung, Wissenschaft und Forschung (through Organization: Bundesministerium für Wissenschaft, Forschung und Wirtschaft / Federal Ministry of Science, Research and Economics [BMWFW])
- FUNDACIÓ Privada MIR-PUIG
- Foundational Questions Institute [FQXi]
- Fundacion Cellex (through Organization: Fundació Privada Cellex)
- Generalitat de Catalunya / Government of Catalonia
- Horizon 2020 (through Organization: European Commission [EC])
- Ministerio de Economía y Competitividad (MINECO) (through Organization: Ministerio de Economía, Industria y Competitividad / Ministry of Economy, Industry and Competitiveness [MINECO])
- Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung / Swiss National Science Foundation [SNF]