Loophole-free Bell test using electron spins in diamond: Second experiment and additional analysis

Bas Hensen; Norbert Kalb; Machiel Blok; Anaïs Dréau; Andreas Reiserer; Raymond Vermeulen; Raymond Schouten; M. Markham; D.J. Twitchen; Kenneth Goodenough; David Elkouss Coronas; Stephanie Wehner; Tim Taminiau; Ronald Hanson

doi:10.1038/srep30289

Loophole-free Bell test using electron spins in diamond: Second experiment and additional analysis

Bas Hensen, Norbert Kalb, Machiel Blok, Anaïs Dréau, Andreas Reiserer, Raymond Vermeulen, Raymond Schouten, M. Markham, D.J. Twitchen, Kenneth Goodenough, David Elkouss Coronas, Stephanie Wehner, Tim Taminiau, Ronald Hanson

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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.

Original language	English
Article number	30289
Pages (from-to)	1-11
Number of pages	11
Journal	Scientific Reports
Volume	6
DOIs	https://doi.org/10.1038/srep30289
Publication status	Published - 2016

Keywords

Quantum information
Qubits
Single photons and quantum effects

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Hensen, B., Kalb, N., Blok, M., Dréau, A., Reiserer, A., Vermeulen, R., Schouten, R., Markham, M., Twitchen, D. J., Goodenough, K., Elkouss Coronas, D., Wehner, S., Taminiau, T., & Hanson, R. (2016). Loophole-free Bell test using electron spins in diamond: Second experiment and additional analysis. Scientific Reports, 6, 1-11. Article 30289. https://doi.org/10.1038/srep30289

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Loophole-free Bell test using electron spins in diamond: Second experiment and additional analysis

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