Device-Independent Certification of Maximal Randomness from Pure Entangled Two-Qutrit States Using Non-Projective Measurements

Autor:	Jakub J. Borkała, Chellasamy Jebarathinam, Shubhayan Sarkar, Remigiusz Augusiak
Jazyk:	angličtina
Rok vydání:	2022
Předmět:	randomness certification self-testing extremal POVM Weyl–Heisenberg basis Science Astrophysics QB460-466 Physics QC1-999
Zdroj:	Entropy, Vol 24, Iss 3, p 350 (2022)
Druh dokumentu:	article
ISSN:	1099-4300
DOI:	10.3390/e24030350
Popis:	While it has recently been demonstrated how to certify the maximal amount of randomness from any pure two-qubit entangled state in a device-independent way, the problem of optimal randomness certification from entangled states of higher local dimension remains open. Here we introduce a method for device-independent certification of the maximal possible amount of 2log23 random bits using pure bipartite entangled two-qutrit states and extremal nine-outcome general non-projective measurements. To this aim, we exploit a device-independent method for certification of the full Weyl–Heisenberg basis in three-dimensional Hilbert spaces together with a one-sided device-independent method for certification of two-qutrit partially entangled states.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/118b7ed861cd444293b79cd4301d9322 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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