Bound on distributed entanglement

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 ${|\varphi ⟩}_{AB}$ and ${|\psi ⟩}_{CD}$ 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 ${|\varphi ⟩}_{AB}$ and ${|\psi ⟩}_{CD}$ 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.

5 pages

References in corpus (5)

• A computable measure of entanglement
• Entanglement monogamy of multipartite higher-dimensional quantum systems using convex-roof extended negativity
• Convex-roof extended negativity as an entanglement measure for bipartite quantum systems
• Family of Concurrence Monotones and its Applications
• Remote Preparation and Distribution of Bipartite Entangled States

Cited by in corpus (1)

• Is monogamy of entanglement geometrical?