A Method of Developing Analytical Multipartite Delocalization Measures for Mixed W-like States

Abstract

We present a method of developing analytical measures of $k$-partite delocalization in arbitrary $n$-body W-like states, otherwise known as mixed states in the single excitation subspace. These measures calculate the distance of a state to its closest reference state with $k-1$ entanglement. We find that the reference state is determined by the purity of the state undergoing measurement. Measures with up to 6-body delocalization for a 6-body system are derived in full, while an algorithm for general $k$-partite measures is given.

8 pages, 3 figures

References in corpus (3)

• Entanglement detection
• Multipartite entanglement in spin chains
• Hierarchies of Geometric Entanglement

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