Entanglement of formation from optimal decomposition (pp0965-0976)
          Lin Chen and Yi-Xin. Chen
          doi: https://doi.org/10.26421/QIC8.10-6
Abstracts: We have recently shown that for the special case of a bipartite system with binary inputs and outputs there exist equalities in local theories which are violated by quantum theory. The amount of white noise tolerated by these equalities are twice that of inequalities. In this paper we will first introduce an inequality in bipartite qutrits systems which, if nonmaximally entangled state is used instead of maximally entangled state, is violated more strongly by quantum theory. Hence reproducing the results obtained in the literature. We will then prove that our equalities in this case are violated by quantum theory too, and they tolerate much more white noise than inequalities.
Key words: foundations of quantum theory; Bell inequality; non-locality; entanglement; white noise; quantum cryptography