Bell experiments can be used to generate private random numbers. An ideal Bell experiment would involve measuring a state of two maximally entangled qubits, but in practice any state produced is subject to noise. Here we consider how the techniques presented in Refs [Bancal et al., New J. Phys., 2014] and [Nieto-Silleras, New J. Phys., 2014], i.e. using an optimized Bell inequality, and taking advantage of the fact that the device provider is not our adversary, can be used to improve the rate of randomness generation in Bell-like tests performed on singlet states subject to either white or dephasing noise.
@InProceedings{bancal_et_al:LIPIcs.TQC.2014.1, author = {Bancal, Jean-Daniel and Scarani, Valerio}, title = {{More Randomness From Noisy Sources}}, booktitle = {9th Conference on the Theory of Quantum Computation, Communication and Cryptography (TQC 2014)}, pages = {1--6}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-939897-73-6}, ISSN = {1868-8969}, year = {2014}, volume = {27}, editor = {Flammia, Steven T. and Harrow, Aram W.}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.TQC.2014.1}, URN = {urn:nbn:de:0030-drops-48015}, doi = {10.4230/LIPIcs.TQC.2014.1}, annote = {Keywords: Randomness, Bell inequalities, Trusted provider assumption} }
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