Detection efficiency and noise in semi-device independent randomness extraction protocol

Abstract

In this paper, we analyze several critical issues in semi-device independent quantum information processing protocol. In practical experimental realization randomness generation in that scenario is possible only if the efficiency of the detectors used is above a certain threshold. Our analysis shows that the critical detection efficiency is 0.7071 in the symmetric setup, while in the asymmetric setup if one of the bases has perfect critical detection efficiency then the other one can be arbitrarily close to 0. We also analyze the semi-device independent random number generation efficiency based on different averages of guessing probability. To generate more randomness, the proper averaging method should be applied. Its choice depends on the value of a certain dimension witness. More importantly, the general analytical relationship between the maximal average guessing probability and dimension witness is given.

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Cited by in corpus (8)

• Dual-phase-modulated plug-and-play measurement-device-independent continuous-variable quantum key distribution
• Increased Certification of Semi-device Independent Random Numbers using Many Inputs and More Postprocessing
• Bounds on semi-device-independent quantum random number expansion capabilities
• Certification of qubits in the prepare-and-measure scenario with large input alphabet and connections with the Grothendieck constant
• Certification of three black boxes with unsharp measurements using $3\to 1$ sequential quantum random access codes
• An unconditional experimental test of Nonclassicality
• Detection Efficiency Bounds in (Semi-)Device-Independent Scenarios
• Semi-device-independent randomness certification on discretized continuous-variable platforms