Maximal quantum randomness in Bell tests

Abstract

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.

5 pages, 1 figure

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Cited by in corpus (22)

• Bell nonlocality
• Self-testing of quantum systems: a review
• Quantum Randomness Certified by the Uncertainty Principle
• Simple and tight device-independent security proofs
• Optimal randomness certification from one entangled bit
• Genuine tripartite nonlocality and entanglement in curved spacetime
• Bell inequalities tailored to maximally entangled states
• Self-testing protocols based on the chained Bell inequalities
• Quantifying Bell: the Resource Theory of Nonclassicality of Common-Cause Boxes
• Maximally nonlocal theories cannot be maximally random
• Understanding the interplay of entanglement and nonlocality: motivating and developing a new branch of entanglement theory
• Probing the limits of correlations in an indivisible quantum system
• Entanglement as upper bounded for the nonlocality of a general two-qubit system
• Graph-Theoretic Framework for Self-Testing in Bell Scenarios
• Maximizing device-independent randomness from a Bell experiment by optimizing the measurement settings
• Correlations constrained by composite measurements
• Experimental certification of more than one bit of quantum randomness in the two inputs and two outputs scenario
• Generalized Iterative Formula for Bell Inequalities
• Expanding bipartite Bell inequalities for maximum multi-partite randomness
• Bounding Large-Scale Bell Inequalities
• Robust self-testing and certified randomness based on chained Bell inequality
• Tight analytic bound on the trade-off between device-independent randomness and nonlocality