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Maximal Violation of Bell Inequalities using Continuous Variables Measurements

Jérome Wenger·Mohammad Hafezi·Frédéric Grosshans·Rosa Tualle-Brouri·Philippe Grangier
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Abstract

We propose a whole family of physical states that yield a violation of the Bell CHSH inequality arbitrarily close to its maximum value, when using quadrature phase homodyne detection. This result is based on a new binning process called root binning, that is used to transform the continuous variables measurements into binary results needed for the tests of quantum mechanics versus local realistic theories. A physical process in order to produce such states is also suggested. The use of high-efficiency spacelike separated homodyne detections with these states and this binning process would result in a conclusive loophole-free test of quantum mechanics.

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Jérome Wenger, Mohammad Hafezi, Frédéric Grosshans, Rosa Tualle-Brouri, Philippe Grangier. 2002-11-12. Maximal Violation of Bell Inequalities using Continuous Variables Measurements. https://doi.org/10.1103/physreva.67.012105

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