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arXiv · 1707.00564

Device-independent certification of two bits of randomness from one entangled bit and Gisin's elegant Bell inequality

Ole Andersson·Piotr Badziąg·Irina Dumitru·Adán Cabello
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Abstract

We prove that as conjectured by Ac\'{\i}n et al. [Phys. Rev. A 93, 040102(R) (2016)], two bits of randomness can be certified in a device-independent way from one bit of entanglement using the maximal quantum violation of Gisin's elegant Bell inequality. This suggests a surprising connection between maximal entanglement, complete sets of mutually unbiased bases, and elements of symmetric informationally complete positive operator-valued measures, on one side, and the optimal way of certifying maximal randomness, on the other.

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Ole Andersson, Piotr Badziąg, Irina Dumitru, Adán Cabello. 2017-07-03. Device-independent certification of two bits of randomness from one entangled bit and Gisin's elegant Bell inequality. https://doi.org/10.1103/physreva.97.012314

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