Inequalities for complementarity in observed statistics

• URL: http://arxiv.org/abs/2103.03101v2
• Date: Mon, 10 Jan 2022 21:55:40 GMT
• Title: Inequalities for complementarity in observed statistics
• Authors: Elisa Masa, Laura Ares and Alfredo Luis
• Abstract summary: We show that, if the measured statistics does notfulfill the inequalities it is equivalent to the lack of a joint distribution for theincompatible observables. This is illustrated by path-interference duality ina Young interferometer.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We provide an analysis of complementarity via a suitably designed classicalmodel that leads to a set of inequalities that can be tested by means ofunsharp measurements. We show that, if the measured statistics does notfulfill the inequalities it is equivalent to the lack of a joint distribution for theincompatible observables. This is illustrated by path-interference duality ina Young interferometer.

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