Semi-device independent randomness generation based on quantum state's indistinguishability. (29th September 2021)

• Record Type: Journal Article
• Authors: Tebyanian, Hamid; Zahidy, Mujtaba; Avesani, Marco; Stanco, Andrea; Villoresi, Paolo; Vallone, Giuseppe
• Is Part Of: Quantum science and technology. Volume 6:Number 4(2021)
• Publication Date: 2021-09-29
• Subjects: quantum random number generator -- semi-device independent -- time-bin encoding -- semidefinite programming -- quantum state discrimination; Quantum theory -- Periodicals; Quantum theory; Periodicals; 530
• DOI: 10.1088/2058-9565/ac2047
• Languages: English
• ISSNs: 2058-9565

Abstract

Abstract: Semi-device independent (Semi-DI) quantum random number generators (QRNGs) gained attention for security applications, offering an excellent trade-off between security and generation rate. This paper presents a proof-of-principle time-bin encoding semi-DI QRNG experiments based on a prepare-and-measure scheme. The protocol requires two simple assumptions and a measurable condition: an upper-bound on the prepared pulses' energy. We lower-bound the conditional min-entropy from the energy-bound and the input–output correlation, determining the amount of genuine randomness that can be certified. Moreover, we present a generalized optimization problem for bounding the min-entropy in the case of multiple input and outcomes, in the form of a semidefinite program. The protocol is tested with a simple experimental setup, capable of realizing two configurations for the ternary time-bin encoding scheme. The experimental setup is easy-to-implement and comprises commercially available off-the-shelf components at the telecom wavelength, granting a secure and certifiable entropy source. The combination of ease-of-implementation, scalability, high security level and output-entropy, make our system a promising candidate for commercial QRNGs.