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Self-testing properties of Gisin's elegant Bell inequality
Stockholm University, Faculty of Science, Department of Physics.
Stockholm University, Faculty of Science, Department of Physics.
Stockholm University, Faculty of Science, Department of Physics.
Stockholm University, Faculty of Science, Department of Physics.
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Number of Authors: 52017 (English)In: Physical Review A: covering atomic, molecular, and optical physics and quantum information, ISSN 2469-9926, E-ISSN 2469-9934, Vol. 96, no 3, article id 032119Article in journal (Refereed) Published
Abstract [en]

An experiment in which the Clauser-Horne-Shimony-Holt inequality is maximally violated is self-testing (i.e., it certifies in a device-independent way both the state and the measurements). We prove that an experiment maximally violating Gisin's elegant Bell inequality is not similarly self-testing. The reason can be traced back to the problem of distinguishing an operator from its complex conjugate. We provide a complete and explicit characterization of all scenarios in which the elegant Bell inequality is maximally violated. This enables us to see exactly how the problem plays out.

Place, publisher, year, edition, pages
2017. Vol. 96, no 3, article id 032119
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Physical Sciences
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URN: urn:nbn:se:su:diva-180154DOI: 10.1103/PhysRevA.96.032119ISI: 000411452500003OAI: oai:DiVA.org:su-180154DiVA, id: diva2:1416584
Available from: 2020-03-24 Created: 2020-03-24 Last updated: 2020-03-24Bibliographically approved

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Andersson, OleBadziag, PiotrBengtsson, IngemarDumitru, Irina
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