Journal
PHYSICAL REVIEW LETTERS
Volume 113, Issue 4, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.113.040401
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Funding
- Singapore Ministry of Education (partly through the Academic Research Fund Tier 3) [MOE2012-T3-1-009]
- National Research Foundation of Singapore
- John Templeton Foundation
- European Commission (EC) STREP RAQUEL
- MINECO Project [FIS2008-01236]
- FEDER funds
- Janos Bolyai Grant of the Hungarian Academy of Sciences
- Hungarian National Research Fund OTKA [PD101461]
- TAMOP-4.2.2.C-11/1/KONV-2012-0001 Project
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Self-testing refers to the fact that, in some quantum devices, both states and measurements can be assessed in a black-box scenario, on the sole basis of the observed statistics, i.e., without reference to any prior device calibration. Only a few examples of self-testing are known, and they just provide nontrivial assessment for devices performing unrealistically close to the ideal case. We overcome these difficulties by approaching self-testing with the semidefinite programing hierarchy for the characterization of quantum correlations. This allows us to improve dramatically the robustness of previous self-testing schemes; e.g., we show that a Clauser-Horne-Shimony-Holt violation larger than 2.57 certifies a singlet fidelity of more than 70%. In addition, the versatility of the tool brings about self-testing of hitherto impossible cases, such as the robust self-testing of nonmaximally entangled two-qutrit states in the Collins-Gisin-Linden-Massar-Popescu scenario.
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