Randomness Extraction from Bell Violation with Continuous Parametric Down-Conversion

Lijiong Shen, Jianwei Lee, Le Phuc Thinh, Jean-Daniel Bancal, Alessandro Cerè, Antia Lamas-Linares, Adriana Lita, Thomas Gerrits, Sae Woo Nam, Valerio Scarani, and Christian Kurtsiefer
Phys. Rev. Lett. 121, 150402 – Published 9 October 2018
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Abstract

We present a violation of the Clauser-Horne-Shimony-Holt inequality without the fair sampling assumption with a continuously pumped photon pair source combined with two high efficiency superconducting detectors. Because of the continuous nature of the source, the choice of the duration of each measurement round effectively controls the average number of photon pairs participating in the Bell test. We observe a maximum violation of S=2.01602(32) with an average number of pairs per round of 0.32, compatible with our system overall detection efficiencies. Systems that violate a Bell inequality are guaranteed to generate private randomness, with the randomness extraction rate depending on the observed violation and on the repetition rate of the Bell test. For our realization, the optimal rate of randomness generation is a compromise between the observed violation and the duration of each measurement round, with the latter realistically limited by the detection time jitter. Using an extractor composably secure against quantum adversary with quantum side information, we calculate an asymptotic rate of 1300randombits/s. With an experimental run of 43 min, we generated 617 920 random bits, corresponding to 240randombits/s.

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  • Received 8 May 2018

DOI:https://doi.org/10.1103/PhysRevLett.121.150402

© 2018 American Physical Society

Physics Subject Headings (PhySH)

Atomic, Molecular & OpticalGeneral PhysicsQuantum Information, Science & Technology

Authors & Affiliations

Lijiong Shen1,2, Jianwei Lee1, Le Phuc Thinh1, Jean-Daniel Bancal3, Alessandro Cerè1, Antia Lamas-Linares4,1, Adriana Lita5, Thomas Gerrits5, Sae Woo Nam5, Valerio Scarani1,2, and Christian Kurtsiefer1,2,*

  • 1Centre for Quantum Technologies, National University of Singapore, 3 Science Drive 2, Singapore 117543
  • 2Department of Physics, National University of Singapore, 2 Science Drive 3, Singapore 117551
  • 3Department of Physics, University of Basel, Klingelbergstrasse 82, 4056 Basel, Switzerland
  • 4Texas Advanced Computing Center, The University of Texas at Austin, Austin, Texas 78758, USA
  • 5National Institute of Standards and Technology, Boulder, Colorado 80305, USA

  • *christian.kurtsiefer@gmail.com

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Issue

Vol. 121, Iss. 15 — 12 October 2018

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