Nonclassicality of pure two-qutrit entangled states

Jacek Gruca, Wieslaw Laskowski, Marek Zukowski

Published 2011-11-16, updated 2012-03-06Version 2

We report an exhaustive numerical analysis of violations of local realism by two qutrits in all possible pure entangled states. In Bell type experiments we allow any pairs of local unitary U(3) transformations to define the measurement bases. Surprisingly, Schmidt rank-2 states, resembling pairs of maximally entangled qubits, lead to the most noise-robust violations of local realism. The phenomenon seems to be even more pronounced for four and five dimensional systems, for which we tested a few interesting examples.