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Entanglement Theory Quantum Correlations Quantum Foundations

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

arXiv
Authors: Ole Andersson, Piotr Badziąg, Irina Dumitru, Adán Cabello

Year

2017

Paper ID

44850

Status

Preprint

Abstract Read

~2 min

Abstract Words

77

Citations

N/A

Abstract

We prove that as conjectured by Acín 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.

Why This Paper Matters

  • This paper contributes to the Quantum Foundations research area in the Quantum Articles archive.
  • It adds a 2017 reference point for readers tracking recent quantum research.
  • We prove that as conjectured by Acín et al.

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