Enhancing device-independent estimation of quantum randomness from real experimental data

In the protocols of device-independent quantum random number generator, it is essential to certify the randomness of the generated numbers. However, statistical fluctuations in measurement data might break the nosignaling conditions, making those data unphysical. In this letter, we proposed to circu...

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Published inJournal of physics. B, Atomic, molecular, and optical physics Vol. 53; no. 4; pp. 45501 - 45506
Main Authors Wu, Lu-Yan, Li, Jian, Liu, Tong-Jun, Liu, Chen-Xi, Wang, Xiao-Rui, Wang, Qin
Format Journal Article
LanguageEnglish
Published IOP Publishing 28.02.2020
Subjects
post-processing
random numbers
statistical fluctuation
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Summary:In the protocols of device-independent quantum random number generator, it is essential to certify the randomness of the generated numbers. However, statistical fluctuations in measurement data might break the nosignaling conditions, making those data unphysical. In this letter, we proposed to circumvent this problem by using the standard constrained least-squares method. As examples, we apply our present approach on post-processing two different experimental data by utilizing either CHSH correlations or complete measurement statistics, and do comparisons with the original distribution. The post-processing results not only prove the effectiveness of our work to solve the unphysical problem, but also show that randomness certified by processing complete measurement statistics is always larger than through Bell-like inequalities.
Bibliography:JPHYSB-105743
ISSN:0953-4075
1361-6455
DOI:10.1088/1361-6455/ab5c33