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arXiv · 1001.5453

Bound on distributed entanglement

Jeong San Kim·Soojoon Lee
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Abstract

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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Jeong San Kim, Soojoon Lee. 2010-01-29. Bound on distributed entanglement. https://doi.org/10.1088/1751-8113/43/38/385305

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