Nonclassical joint distributions and Bell measurements
arXiv:1909.05206 · doi:10.1016/j.physleta.2020.126416
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.
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Cited by in corpus (8)
- Single-pair measurement of the Bell parameter
- A loophole of all `loophole-free' Bell-type theorems
- Inequalities for complementarity in observed statistics
- Detector self-tomography
- Single-measurement Bell analysis
- Quantum conditional probabilities
- Violation of Bell quantum probability inequalities with classical fields
- Violation of Bell Inequalities: Mapping the Conceptual Implications