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

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 maxi...

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Detalles Bibliográficos
Autores: Andersson, Ole, Badziag, Piotr, Dumitru, Irina, Cabello Quintero, Adán
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2018
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/153128
Acceso en línea:https://hdl.handle.net/11441/153128
https://doi.org/10.1103/PhysRevA.97.012314
Access Level:acceso abierto
Palabra clave:Randomness
Bell inequality
Descripción
Sumario: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.