Robust amplification of Santha-Vazirani sources with three devices

Abstract

We demonstrate that amplification of arbitrarily weak randomness is possible using quantum resources. We present a randomness amplification protocol that involves Bell experiments. We find a Bell inequality which can amplify arbitrarily weak randomness and give a detailed analysis of the protocol involving it. Our analysis includes finding a sufficient violation of Bell inequality as a function of the initial quality of randomness. It has a very important property that for any quality the required violation is strictly lower than possible to obtain using quantum resources. Among other things, it means that the protocol takes a finite amount of time to amplify arbitrarily weak randomness.

published version

References in corpus (4)

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Cited by in corpus (9)

• Randomness in Quantum Mechanics: Philosophy, Physics and Technology
• Robust Device-Independent Randomness Amplification with Few Devices
• Randomness amplification against no-signaling adversaries using two devices
• Device-independent randomness amplification with a single device
• Robust Device Independent Randomness Amplification
• Amplifying the randomness of weak sources correlated with devices
• Experimental certification of more than one bit of quantum randomness in the two inputs and two outputs scenario
• Device-independent and semi-device-independent entanglement certification in broadcast Bell scenarios
• Complete extension: the non-signaling analog of quantum purification