Bound on distributed entanglement

Details Bound on distributed entanglement Bound on distributed entanglement

2010-01-29

arxiv.org/abs/1001.5453v1

J. Phys. A: Math. Theor. 43, 385305 (2010)

Physics

Quantum Physics

5 pages

Scientific paper

Using the convex-roof extended negativity and the negativity of assistance as quantifications of bipartite entanglement, we consider the possible remotely-distributed entanglement. For two pure states $\ket{\phi}_{AB}$ and $\ket{\psi}_{CD}$ on bipartite systems $AB$ and $CD$, we first show that the possible amount of entanglement remotely distributed on the system $AC$ by joint measurement on the system $BD$ is not less than the product of two amounts of entanglement for the states $\ket{\phi}_{AB}$ and $\ket{\psi}_{CD}$ in two-qubit and two-qutrit systems. We also provide some sufficient conditions, for which the result can be generalized into higher-dimensional quantum systems.

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