Freiburg 2019 – wissenschaftliches Programm
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FM: Fall Meeting
FM 86: Poster: Secure Communication & Computation
FM 86.9: Poster
Donnerstag, 26. September 2019, 16:30–18:30, Tents
True randomness certified from loop-hole free Bell test — •Xing Chen1, Ilja Gerhardt1, Jörg Wrachtrup1, Robert Garthoff2, Kai Redeker2, and Wenjamin Rosenfeld2 — 13. Institute of Physics, University of Stuttgart and Institute for Quantum Science and Technology, IQST, Pfaffenwaldring 57, D-70569 Stuttgart, Germany — 2Fakultät für Physik, Ludwig-Maximilians-Universität, D-80799 Munich, Germany
The loop-hole free test of Bell’s inequality allows us to certify quantum random numbers with a very limited set of prior assumptions [1]. The randomness certified by Bell’s theorem was extracted by singlet probability p(a|x) in previous studies, which does not fully extract the device-independent (DI) randomness in the Bell test data. A more precise and smaller upper bound could be deduced by semi-defined-programs, but it is not convenient and not secure for practical use. Here, we develop an analytic upper bound for the joint outcome probability p(ab|xy), so we can extract all the DI randomness from the Bell test data. In a weaker semi-device-independent conditions, with dimension witnesses [2], substantial more randomness can be extracted than in the device-independent cases. We use our models on the loop-hole free Bell test experiment [3], and certify more randomness than previous models.
[1] S. Pironio, et al., Nature 464.7291 (2010): 1021.
[2] J. Bowles, et al., Physical Review Letters 112.14 (2014):140407.
[3] W. Rosenfeld, et al., Physical Review Letters 119.1 (2017): 010402.