Quantifying genuine tripartite entanglement by reshaping the state

TL;DR

The paper introduces a new measure called minimum pairwise concurrence (MPC) for quantifying genuine multipartite entanglement, which outperforms existing measures and aids in quantum information processing.

Contribution

A novel GME measure, MPC, based on pairwise entanglement, that accurately detects GME without tracing out qubits, improving over previous methods.

Findings

MPC outperforms existing GME measures in various aspects.

MPC effectively characterizes entanglement between two qubits in a multipartite system.

The measure facilitates understanding and potential application in quantum tasks.

Abstract

Although genuine multipartite entanglement (GME), as one quantum resource, is indispensable in quantum information processing, most of the existing measures cannot detect GME faithfully. In this paper, we present a novel GME measure, namely the minimum pairwise concurrence (MPC), by introducing pairwise entanglement, which characters the entanglement between two single-qubit subsystems of a multipartite system without tracing out the remaining qubit. The pairwise entanglement can be obtained by combining the entanglement of reduced subsystem and three-tangle. Compared with the existing measures, the MPC measure outperforms the previous ones in many aspects. Due to its fine properties, it thus is believed that the MPC could be one of good candidates in achieving potential quantum tasks and also facilitate the understanding for GME.