v$_{1}$ v$_{2}$ v$_{3}$ v$_{4}$ v$_{1}$ v$_{2}$ v$_{3}$ v$_{4}$ v$_{1}$ v$_{2}$ v$_{3}$ v$_{4}$ v$_{1}$ v$_{2}$ v$_{3}$ v$_{4}$ FIG. 7: Fig. 7 shows that the property (ii) is not maintained for the arbitrary two-qubit states. Four figures in Fig. 7 correspond to r = s = 0 . 3 (Fig. 7a), r = − s = 0 . 3 (Fig. 7b), r = s = 0 . 5 (Fig. 7c) and r = − s = 0 . 5 (Fig. 7d). For convenience, we plot T and L r,s together in each figure. Each line in Fig. 7 represents a set of t , whose CSS has same τ . As Fig. 7 has exhibited, not all lines pass one of the vertices of T . This fact indicates that the nice property (ii) is not maintained for the general mixtures. mixtures. Using Eq.(1.6) we plot the τ (correlation vector of CSS)-dependence of t (correla- tion vector of the entangled state) with varying the parameter x when min( µ Γ $_{−}$, ν Γ $_{−}$) = ν Γ − = 0. Since similar behavior arises when min( µ Γ $_{−}$, ν Γ $_{−}$) = µ Γ − = 0, we have not included this case in Fig. 7. Four figures in Fig. 7 correspond to, respectively, r = s = 0 . 3 (Fig. 7a), 18