Robustness of quantum randomness expansion protocols in the presence of noise

Abstract

In this paper we investigate properties of several randomness generation protocols in the device independent framework. Using Bell-type inequalities it is possible to certify that the numbers generated by an untrusted device are indeed random. We present a selection of certificates which guarantee two bits of randomness for each run of the experiment in the noiseless case and require the parties to share a maximally entangled state. To compare them we study their efficiency in the presence of white noise. We find that for different amounts of noise different operators are optimal for certifying most randomness. Therefore the vendor of the device should use different protocols depending on the amount of noise expected to occur. Another of our results that we find particularly interesting is that using a single Bell operator as a figure of merit is rarely optimal.

8 pages, 5 figures

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Cited by in corpus (14)

• More Randomness from the Same Data
• Using complete measurement statistics for optimal device-independent randomness evaluation
• Semidefinite programming relaxations for quantum correlations
• A framework for quantum-secure device-independent randomness expansion
• Device-independent randomness generation from several Bell estimators
• Properties of dimension witnesses and their semi-definite programming relaxations
• Device and semi-device independent random numbers based on non-inequality paradox
• Maximizing device-independent randomness from a Bell experiment by optimizing the measurement settings
• Device-independent quantum key distribution based on measurement inputs
• Experimental certification of more than one bit of quantum randomness in the two inputs and two outputs scenario
• Generalized measurements on qubits in quantum randomness certification and expansion
• Intrinsic asymmetry with respect to adversary: new feature of Bell inequalities
• Device-independent Shannon entropy certification
• Bounding conditional entropy of bipartite states with Bell operators