The effects of reduced "free will" on Bell-based randomness expansion

Abstract

With the advent of quantum information, the violation of a Bell inequality is used as evidence of the absence of an eavesdropper in cryptographic scenarios such as key distribution and randomness expansion. One of the key assumptions of Bell's Theorem is the existence of experimental "free will", meaning that measurement settings can be chosen at random and independently by each party. The relaxation of this assumption potentially shifts the balance of power towards an eavesdropper. We consider a no-signalling model with reduced "free will" and bound the adversary's capabilities in the task of randomness expansion.

7 pages, 2 figures

References in corpus (5)

• Secure device-independent quantum key distribution with causally independent measurement devices
• Private Randomness Expansion With Untrusted Devices
• Local deterministic model of singlet state correlations based on relaxing measurement independence
• Relaxed Bell inequalities and Kochen-Specker theorems
• Quantum randomness and value indefiniteness

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• Randomness Requirement on CHSH Bell Test in the Multiple Run Scenario
• Demonstration of Quantum Nonlocality in presence of Measurement Dependence
• Efficient measurement-device-independent detection of multipartite entanglement structure