Title
Loophole-free Bell test using electron spins in diamond: Second experiment and additional analysis
Author
Hensen, B.J. (TU Delft QID/Hanson Lab; TU Delft QuTech Advanced Research Centre; Kavli institute of nanoscience Delft) 
Kalb, N. (TU Delft QID/Hanson Lab; TU Delft QuTech Advanced Research Centre; Kavli institute of nanoscience Delft)
Blok, M.S. (TU Delft QN/Quantum Transport; TU Delft QuTech Advanced Research Centre; Kavli institute of nanoscience Delft)
Dréau, A.E. (TU Delft QID/Hanson Lab; TU Delft QuTech Advanced Research Centre; Kavli institute of nanoscience Delft)
Reiserer, A.A. (TU Delft QID/Hanson Lab; TU Delft QuTech Advanced Research Centre; Kavli institute of nanoscience Delft)
Vermeulen, R.F.L. (TU Delft ALG/General; TU Delft QuTech Advanced Research Centre; Kavli institute of nanoscience Delft)
Schouten, R.N. (TU Delft ALG/General; TU Delft QuTech Advanced Research Centre; Kavli institute of nanoscience Delft)
Markham, M. (Element Six Innovation)
Twitchen, D.J. (Element Six Innovation)
Goodenough, K.D. (TU Delft QID/Wehner Group; TU Delft QuTech Advanced Research Centre)
Elkouss Coronas, D. (TU Delft Quantum Information and Software; TU Delft QID/Wehner Group; TU Delft QuTech Advanced Research Centre)
Wehner, S.D.C. (TU Delft Quantum Internet Division; TU Delft Quantum Information and Software; TU Delft QuTech Advanced Research Centre)
Taminiau, T.H. (TU Delft QID/Taminiau Lab; TU Delft QuTech Advanced Research Centre; Kavli institute of nanoscience Delft)
Hanson, R. (TU Delft QID/Hanson Lab; TU Delft Support TNW; TU Delft QuTech Advanced Research Centre; Kavli institute of nanoscience Delft)
Department
Quantum Internet Division
Date
2016
Abstract
The recently reported violation of a Bell inequality using entangled electronic spins in diamonds (Hensen et al., Nature 526, 682–686) provided the first loophole-free evidence against local-realist theories of nature. Here we report on data from a second Bell experiment using the same experimental
setup with minor modifications. We find a violation of the CHSH-Bell inequality of 2.35 ± 0.18, in agreement with the first run, yielding an overall value of S = 2.38 ± 0.14. We calculate the resulting P-values of the second experiment and of the combined Bell tests. We provide an additional analysis of the distribution of settings choices recorded during the two tests, finding that the observed
distributions are consistent with uniform settings for both tests. Finally, we analytically study the effect of particular models of random number generator (RNG) imperfection on our hypothesis test. We find that the winning probability per trial in the CHSH game can be bounded knowing only the mean of the
RNG bias. This implies that our experimental result is robust for any model underlying the estimated average RNG bias, for random bits produced up to 690 ns too early by the random number generator.
Subject
Quantum information
Qubits
Single photons and quantum effects
To reference this document use:
http://resolver.tudelft.nl/uuid:0fdf5939-76e5-4ae0-ac93-cc9cb729e461
DOI
https://doi.org/10.1038/srep30289
ISSN
2045-2322
Source
Scientific Reports, 6, 1-11
Part of collection
Institutional Repository
Document type
journal article
Rights
© 2016 B.J. Hensen, N. Kalb, M.S. Blok, A.E. Dréau, A.A. Reiserer, R.F.L. Vermeulen, R.N. Schouten, M. Markham, D.J. Twitchen, K.D. Goodenough, D. Elkouss Coronas, S.D.C. Wehner, T.H. Taminiau, R. Hanson