Under fair sampling, post-selected Bell-test statistics from lossy detectors exactly match the statistics of lossless detectors measuring a locally filtered quantum state, and small fair-sampling violations cause only small statistical deviations.
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How post-selection affects device-independent claims under the fair sampling assumption
Under fair sampling, post-selected Bell-test statistics from lossy detectors exactly match the statistics of lossless detectors measuring a locally filtered quantum state, and small fair-sampling violations cause only small statistical deviations.