Bell inequalities under non-ideal conditions

TL;DR

This paper derives new Bell inequalities suitable for non-ideal experiments, showing that previous assumptions were incorrect and that existing experimental results are compatible with local realism under these new conditions.

Contribution

It introduces corrected Bell inequalities for non-ideal conditions, challenging prior assumptions and reinterpreting experimental evidence within a local-realistic framework.

Findings

Previous treatments contained implicit assumptions leading to inaccuracies.

Experimental results are compatible with local realism when using the new inequalities.

Reinterpretation applies to experiments with inefficient detection and measurement crosstalk.

Abstract

Bell inequalities applicable to non-ideal EPRB experiments are critical to the interpretation of experimental Bell tests. In this article it is shown that previous treatments of this subject are incorrect due to an implicit assumption and new inequalities are derived under general conditions. Published experimental evidence is reinterpreted under these results and found to be entirely compatible with local-realism, both, when experiments involve inefficient detection, if fair-sampling detection is assumed, as well as when experiments have nearly ideal detection and measurement crosstalk is taken into account.