A lower bound of concurrence for multipartite quantum states

TL;DR

This paper introduces a new lower bound for the concurrence of multipartite quantum states, improving entanglement detection and providing conditions for GHZ state distillation, with relations between bipartite and tripartite cases.

Contribution

It presents an explicit lower bound for multipartite concurrence that enhances entanglement detection and links bipartite and tripartite cases.

Findings

Lower bound detects entanglement better than some criteria

Provides sufficient conditions for GHZ state distillation

Establishes relations between bipartite and tripartite concurrence

Abstract

We study the concurrence of arbitrary multipartite mixed quantum states. An explicit lower bound of the concurrence is derived, which detects quantum entanglement of some states better than some separability criteria, and gives sufficient conditions for distilling GHZ states from tripartite states. An interesting relations between the lower bound of the concurrence for bipartite states and for tripartite states has been presented.