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In this work we present a proof-of-concept of a photonic quantum random number generation scheme based on the entanglement between two internal degrees of freedom of single photons. The quantum correlations between momentum and polarization at the single photon level are verified by a Bell test in the CHSH form. The violation of this inequality not only ensures the entanglement, but also provides an estimation of the minimum entropy of the generated sequence. This allows to optimize the application of randomness extractor to obtain an unbiased sequence of random numbers.
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Nicolò Leone, Stefano Azzini, Sonia Mazzucchi, Lorenzo Pavesi, "Single particle entanglement as a tool for generating quantum random numbers," Proc. SPIE 11507, Quantum Communications and Quantum Imaging XVIII, 115070H (20 August 2020); https://doi.org/10.1117/12.2567939