Quantum Fisher information-based detection of genuine tripartite entanglement

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.

12 pages, 2 figures

References in corpus (8)

• Entanglement detection
• Quantum metrology from a quantum information science perspective
• Measure of genuine multipartite entanglement with computable lower bounds
• Witnessing genuine multipartite entanglement with positive maps
• Determining lower bounds on a measure of multipartite entanglement from few local observables
• Improved lower bounds on genuine-multipartite-entanglement concurrence
• Measure and detection of genuine multipartite entanglement for tripartite systems
• Bell inequalities for multipartite qubit quantum systems and their maximal violation

Cited by in corpus (5)

• Classification and measurement of multipartite entanglement by reconstruction of correlation tensors on an NMR quantum processor
• Detection of entanglement for multipartite quantum states
• Detection of tripartite entanglement based on principal basis matrix representations
• Detection of genuine multipartite entanglement based on local sum uncertainty relations
• Improved tests of genuine entanglement for multiqudits