Revisiting quantum discord for two-qubit X states: the error bound to an analytical formula
In this article, we investigate the error bound of quantum discord, obtained from
the analytic formula of Ali et al. (Phys. Rev. A 81, 042105, 2010) for the case of general
X states and from the analytic formula of Fanchini et al. (Phys. Rev. A 81, 052107, 2010)
for the case of symmetric X states. For this purpose we consider 3-element POVM.We find
that the results of Ali et al. and Fanchini et al. may have the worst-case errors of 0.004565
and 0.0009, respectively.