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Statistical analysis of Bell tests via generalized measurements
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We provide a fully statistical analysis of the results of a Bell test beyond mean values. This is possible in a practical scheme where all the observables involved in the test are simultaneously measured at the expense of unavoidably additional noise. To deal with this noise we can follow two strategies leading to the same results. These are to adapt the Bell bound to include the noise, or to remove the additional noise via suitable data inversion.
Forward citations
Cited by 2 Pith papers
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Conditional probabilities in quantum-optical settings
Conditioning on one outcome of a joint noisy measurement can reduce (even eliminate) uncertainty in a complementary variable, and the resulting conditional distribution generally has no Born-rule representation via th...
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Generalized measurements for Bell tests in different probability spaces
One experimental arrangement with four detectors per photon implements two distinct probability spaces for Bell tests, and yields new conditional-probability Bell inequalities.
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