Fig. 3: Parameter space for a pair of isotropic state marginals with, respectively, fully entangled fraction pAB and pAC.

The compatible region for the pair is enclosed by the solid red line. The blue curves (shown for the case of d = 3) marks the boundary where the largest compatible vBC is \(\frac{1}{2}\). Regions exhibiting metatransitivity are shaded in gray, which shrink with increasing d, as the upper red curve flattens towards the dashed black line and the blue curves approach the two axes.