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Performance of Test Supermartingale Confidence Intervals for the Success Probability of Bernoulli Trials
Peter Wills, Emanuel Knill, Kevin Coakley +1
Given a composite null hypothesis H, test supermartingales are non-negative supermartingales with respect to H with initial value 1. Large values of test supermartingales provide e…
Quantum Randomness Generation by Probability Estimation with Classical Side Information
Emanuel Knill, Yanbao Zhang, Peter Bierhorst
We develop a framework for certifying randomness from Bell-test trials based on directly estimating the probability of the measurement outcomes with adaptive test supermartingales.…
Device-independent point estimation from finite data and its application to device-independent property estimation
Pei-Sheng Lin, Denis Rosset, Yanbao Zhang +2
The device-independent approach to physics is one where conclusions are drawn directly from the observed correlations between measurement outcomes. In quantum information, this app…