The problem of the reliable transfer of entanglement from one pure bipartite
quantum state to another using local operations is analyzed. It is shown that
in the case of qubits the amount that can be transferred is restricted to the
difference between the entanglement of the two states. In the presence of a
catalytic state the range of the transferrable amount broadens to a certain
degree.Comment: 6 pages, 4 pictures; revised version; to appear in Phys. Rev.