(1) Department of Physics, Dalian University of Technology, Dalian, 116024, P.R. China
Abstract:
For a tripartite pure state superposed by two individual states, the bipartitely shared entanglement can always be achieved
by local measurements of the third party. Consider the different aims of the third party, i.e. maximizing or minimizing the
bipartitely shared entanglement, we find bounds on both the possible bipartitely shared entanglement of the superposition
state in terms of the corresponding entanglement of the two states being superposed. In particular, by choosing the concurrence
as bipartite entanglement measure, we obtain calculable bounds for tripartite (2 ⊗ 2 ⊗ n)-dimensional cases.