Tan T R, Wan Y, Erickson S, Bierhorst P, Kienzler D, Glancy S, Knill E, Leibfried D, Wineland D J
National Institute of Standards and Technology, 325 Broadway, Boulder, Colorado 80305, USA.
Department of Physics, University of Colorado, Boulder, Colorado 80309, USA.
Phys Rev Lett. 2017 Mar 31;118(13):130403. doi: 10.1103/PhysRevLett.118.130403. Epub 2017 Mar 28.
We report correlation measurements on two ^{9}Be^{+} ions that violate a chained Bell inequality obeyed by any local-realistic theory. The correlations can be modeled as derived from a mixture of a local-realistic probabilistic distribution and a distribution that violates the inequality. A statistical framework is formulated to quantify the local-realistic fraction allowable in the observed distribution without the fair-sampling or independent-and-identical-distributions assumptions. We exclude models of our experiment whose local-realistic fraction is above 0.327 at the 95% confidence level. This bound is significantly lower than 0.586, the minimum fraction derived from a perfect Clauser-Horne-Shimony-Holt inequality experiment. Furthermore, our data provide a device-independent certification of the deterministically created Bell states.
我们报告了对两个(^{9}Be^{+})离子的相关性测量，这些测量违反了任何局域实在论理论所遵循的链式贝尔不等式。这些相关性可以建模为源自局域实在论概率分布与违反该不等式的分布的混合。我们制定了一个统计框架，无需公平采样或独立同分布假设，即可量化观测分布中允许的局域实在论部分。我们在95%置信水平下排除了我们实验中局域实在论部分高于0.327的模型。这个界限显著低于0.586，即从完美的克劳泽 - 霍恩 - 希莫尼 - 霍尔特不等式实验得出的最小部分。此外，我们的数据提供了对确定性创建的贝尔态的与设备无关的认证。
