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Maximal quantum randomness in Bell tests
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The non-local correlations exhibited when measuring entangled particles can be used to certify the presence of genuine randomness in Bell experiments. While non-locality is necessary for randomness certification, it is unclear when and why non-locality certifies maximal randomness. We provide here a simple argument to certify the presence of maximal local and global randomness based on symmetries of a Bell inequality and the existence of a unique quantum probability distribution that maximally violates it. Using our findings, we prove the existence of N-party Bell test attaining maximal global randomness, that is, where a combination of measurements by each party provides N perfect random bits.
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Cited by 1 Pith paper
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Bounding Large-Scale Bell Inequalities
An L-BFGS-accelerated alternating projections method on the NPA dual gives quick, slightly loose upper bounds for large Bell inequalities.
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