Die DPG-Frühjahrstagung in Hannover musste abgesagt werden! Lesen Sie mehr ...
Bereiche | Tage | Auswahl | Suche | Aktualisierungen | Downloads | Hilfe
Q: Fachverband Quantenoptik und Photonik
Q 39: Posters: Quantum Optics and Photonics III
Q 39.51: Poster
Mittwoch, 11. März 2020, 16:30–18:30, Empore Lichthof
Certified Randomness from Bell’s Theorem and Dimension Witness — •Xing Chen1, Ilja Gerhardt1, Jörg Wrachtrup1,2, Robert Garthoff3,4, Kai Redeker3,4, Wenjamin Rosenfeld3,4, and Harald Weinfurter3,4 — 13. Institute of Physics, University of Stuttgart and Institute for Quantum Science and Technology IQST, Pfaffenwaldring 57, D-70569 Stuttgart, Germany — 2Max Planck Institute for Solid State Research, Heisenbergstraße 1, D-70569 Stuttgart, Germany — 3Fakultät für Physik, Ludwig-Maximilians-Universität München, D-80799 München, Germany — 4Max-Planck Institut für Quantenoptik, D-85748 Garching, Germany
Device-independent (DI) randomness can be certified from experimental data which violates the CHSH inequality. The certification procedure in previous studies cannot fully extract the DI randomness by an analytical formula. We solve this problem by developing an analytical upper bound for the joint outcome probability p(ab|xy). Compared to the formula in S. Pironio et al. [Nature (London) 464,1021(2010)], the lower the violation S value is, the relative more DI randomness can be certified by our analytical bound. Under less secure semi-device-independent (SDI) conditions, which use dimension witnesses [1], substantial more randomness can be extracted than in the device-independent cases. We furthermore apply our models for the loop-hole free Bell test experiment [2], the results show that nearly half of the experimental events can be certified as SDI randomness.
[1] J. Bowles, et al., PRL.112.14 (2014):140407.
[2] W. Rosenfeld, et al., PRL.119.1 (2017):010402.