Practical Semi-Device Independent Randomness Generation Based on Quantum State's Indistinguishability

• URL: http://arxiv.org/abs/2104.11137v2
• Date: Tue, 4 May 2021 08:17:36 GMT
• Title: Practical Semi-Device Independent Randomness Generation Based on Quantum State's Indistinguishability
• Authors: Hamid Tebyanian, Mujtaba Zahidy, Marco Avesani, Andrea Stanco, Paolo Villoresi, and Giuseppe Vallone
• Abstract summary: We present a proof-of-principle time-bin encoding semi-DI QRNG experiments based on a prepare-and-measure scheme. 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.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Semi-device independent (Semi-DI) quantum random number generators (QRNG) 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 (SDP). 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 (COTS) 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.

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