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We discuss here the best disentanglement processes of states of two two-levelsystems which belong to (i) the universal set, (ii) the set in which the statesof one party lie on a single great circle of the Bloch sphere, and (iii) theset in which the states of one party commute with each other, by teleportingthe states of one party (on which the disentangling machine is acting) throughthree particular type of separable channels, each of which is a mixture of Bellstates. In the general scenario, by teleporting one party's state of anarbitrary entangled state of two two-level parties through some mixture of Bellstates, we have shown that this entangled state can be made separable by usinga physically realizable map $\tilde{V}$, acting on one party's states, if$\tilde{V} (I) = I, \tilde{V} ({\sigma}_j) = {\lambda}_j {\sigma}_j$, where${\lambda}_j \ge 0$ (for $j = 1, 2, 3$), and ${\lambda}_1 + {\lambda}_2 +{\lambda}_3 \le 1$.Comment: 20 pages Late

Realization of optimal disentanglement by teleportation via separable channels