Quantum Fisher information-based detection of genuine tripartite entanglement

TL;DR

This paper introduces a quantum Fisher information-based criterion for detecting genuine tripartite entanglement in multipartite quantum states, demonstrating improved effectiveness over previous methods through specific examples.

Contribution

It presents a novel criterion utilizing quantum Fisher information to detect genuine tripartite entanglement in arbitrary dimensional states, enhancing detection capabilities.

Findings

The criterion effectively detects genuine tripartite entanglement in various states.

It outperforms existing methods in certain cases.

Examples demonstrate the criterion's practical applicability.

Abstract

Genuine multipartite entanglement plays important roles in quantum information processing. The detection of genuine multipartite entanglement has been long time a challenging problem in the theory of quantum entanglement. We propose a criterion for detecting genuine tripartite entanglement of arbitrary dimensional tripartite states based on quantum Fisher information. We show that this criterion is more effective for some states in detecting genuine tripartite entanglement by detailed example.