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

Abstract

We prove that as conjectured by Ac\'ın 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.

5 pages, 1 figure, version 2 is the journal version

References in corpus (2)

• Certified randomness in quantum physics
• Self-testing properties of Gisin's elegant Bell inequality

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