English

Nonclassical joint distributions and Bell measurements

Quantum Physics 2020-06-18 v2

Abstract

Derivation and experimental violation of Bell-like inequalities involve the measurement of in-compatible observables. Simple complementarity forbids the existence of such joint probabilitydistribution. Moreover, the measurement of incompatible observables requires different experimen-tal procedures, which no necessarily must share a common joint statistics. In this work, we avoidthese difficulties by proposing a joint simultaneous measurement experiment. We can obtain theexact individual statistics of all the observables involved in the Bell inequalities after a suitable datainversion. A lack of positivity or any other pathology of the so retrieved joint distribution is then asignature of nonclassical behavior.

Keywords

Cite

@article{arxiv.1909.05206,
  title  = {Nonclassical joint distributions and Bell measurements},
  author = {Elisa Masa and Laura Ares and Alfredo Luis},
  journal= {arXiv preprint arXiv:1909.05206},
  year   = {2020}
}
R2 v1 2026-06-23T11:12:35.395Z