Operational multipartite entanglement measures

TL;DR

This paper introduces two new operational measures for quantifying multipartite entanglement, applicable to pure and mixed states, and demonstrates their effectiveness in characterizing three-qubit states like GHZ and W.

Contribution

The paper presents novel operational entanglement measures for multipartite states, extending their applicability and providing new insights into three-qubit entanglement structures.

Findings

New measures characterize entanglement potential and simplicity of state generation.

GHZ and W states identified as most powerful for state manipulation.

Measures computed explicitly for pure few-partite systems.

Abstract

We introduce two operational entanglement measures which are applicable for arbitrary multipartite (pure or mixed) states. One of them characterizes the potentiality of a state to generate other states via local operations assisted by classical communication (LOCC) and the other the simplicity of generating the state at hand. We show how these measures can be generalized to two classes of entanglement measures. Moreover, we compute the new measures for pure few-partite systems and use them to characterize the entanglement contained in a three-qubit state. We identify the GHZ- and the W-state as the most powerful pure three-qubit states regarding state manipulation.