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Quantum Information Processing
Erschienen in: Quantum Information Processing 4/2019

01.04.2019

The critical detection efficiency for closing the detection loophole of some modified Bell inequalities

verfasst von: Dan-Dan Li, Fei Gao, Ya Cao, Qiao-Yan Wen

Erschienen in: Quantum Information Processing | Ausgabe 4/2019

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Abstract

As we know, the violations of Bell inequalities reveal nonlocality. On the other hand, loopholes in any Bell tests can cause the issues in the interpretation of the above conclusion, since an apparent violation of Bell inequality may not correspond to a real violation of local realism. The detection loophole, as an important example, arises when the overall detection efficiency is not larger than a certain threshold value. With the detection loophole, the above-mentioned effect can be observed in many experiments where the partial detected events can cause apparent Bell violations, while the entire ensemble cannot violate them. However, the real violations of Bell inequalities are necessary for device independence quantum information processing tasks. So, it is crucial to investigate the critical detection efficiency for closing the detection loophole of Bell inequalities. Here, by considering some novel Bell inequalities (Mironowicz and Pawłowski in Phys Rev A 88:032319, 2013), we give the critical detection efficiency for closing the detection loophole of these Bell inequalities. Furthermore, we prove the tightness of these detection efficiency bounds. That is, if detection efficiency is not larger than the critical one, we construct local hidden variable models to reproduce these violations. To sum up, if the detection efficiency of experiment exceeds the critical one derived here, the detection loophole is eliminated.
Vorheriger Artikel Fourier 1-norm and quantum speed-up
Nächster Artikel Quantum Zeno effect by incomplete measurements

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Metadaten
Titel
The critical detection efficiency for closing the detection loophole of some modified Bell inequalities
verfasst von
Dan-Dan Li
Fei Gao
Ya Cao
Qiao-Yan Wen
Publikationsdatum
01.04.2019
Verlag
Springer US
Erschienen in
Quantum Information Processing / Ausgabe 4/2019
Print ISSN: 1570-0755
Elektronische ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-019-2238-1

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