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 [E. Woodhead et al., Phys. Rev. Research 2, 042028(R)(2020)], 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 the extended Bell scenario introduced recently in [S. Sarkar et al., arXiv:2110.15176], which combines 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.
@article{arxiv.2201.08649,
title = {Device-independent certification of maximal randomness from pure entangled two-qutrit states using non-projective measurements},
author = {Jakub Jan Borkała and Chellasamy Jebarathinam and Shubhayan Sarkar and Remigiusz Augusiak},
journal= {arXiv preprint arXiv:2201.08649},
year = {2022}
}