Maximizing device-independent randomness from a Bell experiment by optimizing the measurement settings

Abstract

The rates at which a user can generate device-independent quantum random numbers from a Bell-type experiment depend on the measurements that he performs. By numerically optimising over these measurements, we present lower bounds on the randomness generation rates for a family of two-qubit states composed from a mixture of partially entangled states and the completely mixed state. We also report on the randomness generation rates from a tomographic measurement. Interestingly in this case, the randomness generation rates are not monotonic functions of entanglement.

References in corpus (4)

• Significant-loophole-free test of Bell's theorem with entangled photons
• A convergent hierarchy of semidefinite programs characterizing the set of quantum correlations
• Bounding the set of quantum correlations
• Optimal randomness generation from optical Bell experiments

Cited by in corpus (6)

• Semidefinite programming relaxations for quantum correlations
• Computing conditional entropies for quantum correlations
• A framework for quantum-secure device-independent randomness expansion
• Fast Flux-Activated Leakage Reduction for Superconducting Quantum Circuits
• Device-independent randomness based on a tight upper bound of the maximal quantum value of chained inequality
• Necessary and Sufficient Condition for Randomness Certification from Incompatibility