Bounds on Bipartitiely Shared Entanglement Reduced from Superposed Tripartite Quantum States

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 $(2\otimes 2\otimes n)$ -dimensional cases.

8 pages, 2 figures. Accepted by Euro. Phys. J. D

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Cited by in corpus (3)

• Character of superposed states under deterministic LOCC
• Local transformations of superpositions of entangled states
• Distribution of Standard deviation of an observable among superposed states