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

TL;DR

This paper explores entanglement swapping in valence-bond solid states using local filtering, demonstrating the creation of long-distance entanglement with a trade-off between probability and entanglement degree, extended to higher dimensions.

Contribution

It introduces a method for entanglement swapping in VBS states with local filtering, revealing trade-offs and generalizations to higher dimensions.

Findings

Long-distance entanglement can be generated from VBS states.

A trade-off exists between entanglement quality and success probability.

Results are generalized to higher-dimensional systems.

Abstract

A basic problem of quantum communication is to generate entangled states between distant sites. Using entanglement swapping, we are able to generate an entangled state of the desired distance from connecting many short distance entangled states. We investigate the entanglement swapping of the Valence-Bond Solid state with un-identical local filtering operations. It is found that not only a long distance entangled state can be generated from the VBS state, but also there is a trade-off between the probability and the degree of the entanglement in the resultant state. The results are also generalized to higher dimensional cases.