Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
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Don Jean Baptiste Anoman - F. Arnault - S. Naldi

Quantum Random Number Generator based on Violations of the Free CHSH-3 Inequality

created by naldi on 18 May 2020



Inserted: 18 may 2020
Last Updated: 18 may 2020

Year: 2020

ArXiv: 2003.00124 PDF


We describe a protocol for generating random numbers based on the existence of quantum violations of a free Clauser-Horne-Shimony-Holt inequality, namely CHSH-3. Our method uses semidefinite programming relaxations to compute such violations. In a standard setting the CHSH-3 inequality involves two separated qutrits and compatible measurement, that is, commuting with each other, yielding the known quantum bound of $1+\sqrt{11/3} \approx 2.9149$. In our framework, $d$-dimensional quantum systems (qudits) where $d$ is not fixed a priori, and measurement operators possibly not compatible, are allowed. This loss of constraints yields a higher value for the maximum expectation of the CHSH-3 inequality. Based on such upper bound on the violation of CHSH-3, we develop a random number generator of type prepare-and-measure, but with one part.

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