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A basic problem of quantum communication is to generate entangled statesbetween distant sites. Using entanglement swapping, we are able to generate anentangled state of the desired distance from connecting many short distanceentangled states. We investigate the entanglement swapping of the Valence-BondSolid state with un-identical local filtering operations. It is found that notonly a long distance entangled state can be generated from the VBS state, butalso there is a trade-off between the probability and the degree of theentanglement in the resultant state. The results are also generalized to higherdimensional cases.

Entanglement swapping of the valence-bond solid state with local filtering operations