Bounding the plausibility of physical theories in a device-independent setting via hypothesis testing

Yeong Cherng Liang, Yanbao Zhang

研究成果: Article同行評審

10 引文 斯高帕斯(Scopus)


The device-independent approach to physics is one where conclusions about physical systems (and hence of Nature) are drawn directly and solely from the observed correlations between measurement outcomes. This operational approach to physics arose as a byproduct of Bell's seminal work to distinguish, via a Bell test, quantum correlations from the set of correlations allowed by local-hidden-variable theories. In practice, since one can only perform a finite number of experimental trials, deciding whether an empirical observation is compatible with some class of physical theories will have to be carried out via the task of hypothesis testing. In this paper, we show that the prediction-based-ratio method-initially developed for performing a hypothesis test of local-hidden-variable theories-can equally well be applied to test many other classes of physical theories, such as those constrained only by the nonsignaling principle, and those that are constrained to produce any of the outer approximation to the quantum set of correlations due to Navascués-Pironio-Acín. We numerically simulate Bell tests using hypothetical nonlocal sources of correlations to illustrate the applicability of the method in both the independent and identically distributed (i.i.d.) scenario and the non-i.i.d. scenario. As a further application, we demonstrate how this method allows us to unveil an apparent violation of the nonsignaling conditions in certain experimental data collected in a Bell test. This, in turn, highlights the importance of the randomization of measurement settings, as well as a consistency check of the nonsignaling conditions in a Bell test.

出版狀態Published - 2019 2月 1

All Science Journal Classification (ASJC) codes

  • 資訊系統
  • 電氣與電子工程
  • 一般物理與天文學
  • 數學物理學
  • 物理與天文學(雜項)


深入研究「Bounding the plausibility of physical theories in a device-independent setting via hypothesis testing」主題。共同形成了獨特的指紋。