Detection of multipartite entanglement via quantum Fisher information

Abstract

In this paper, we focus on two different kinds of multipartite correlation, $k$-nonseparability and $k$-partite entanglement, both of which can describe the essential characteristics of multipartite entanglement. We propose effective methods to detect $k$-nonseparability and $k$-partite entanglement in terms of quantum Fisher information. We illustrate the significance of our results and show that they identify some $k$-nonseparability and $k$-partite entanglement that cannot be identified by known criteria by several concrete examples.

References in corpus (14)

• Quantum entanglement
• Quantum secret sharing
• Entanglement detection
• Theoretical efficient high capacity Quantum Key Distribution Scheme
• Nonlinear atom interferometer surpasses classical precision limit
• Geometric measure of entanglement and applications to bipartite and multipartite quantum states
• Fisher information and multiparticle entanglement
• Multipartite entanglement and high precision metrology
• Decoherence and multipartite entanglement
• Measure of genuine multipartite entanglement with computable lower bounds
• Optimal Controlled Teleportation
• Measure of multipartite entanglement with computable lower bounds
• Detection of genuinely entangled and non-separable $n$-partite quantum states
• Efficient $k$-separability criteria for mixed multipartite quantum states

Cited by in corpus (2)

• Tighter sum uncertainty relations via metric-adjusted skew information
• Detection of tripartite entanglement based on principal basis matrix representations