Lower bound of multipartite concurrence based on sub-multipartite quantum systems

Abstract

We study the concurrence of arbitrary dimensional multipartite quantum systems. An explicit analytical lower bound of concurrence for four-partite mixed states is obtained in terms of the concurrences of tripartite mixed states. Detailed examples are given to show that our lower bounds improve the existing lower bounds of concurrence. The approach is generalized to five-partite quantum systems.

9 pages,2 figures, correct some errors

References in corpus (12)

• Concurrence of arbitrary dimensional bipartite quantum states
• Experimental Observation of Four-Photon Entangled Dicke State with High Fidelity
• Optimal entanglement criterion for mixed quantum states
• Lower bounds on concurrence and separability conditions
• Optimal entanglement witnesses based on local orthogonal observables
• Measuring Multipartite Concurrence with a Single Factorizable Observable
• Separability criteria and bounds for entanglement measures
• Concurrence and a proper monogamy inequality for arbitrary quantum states
• Lower Bound of Concurrence for Qubit Systems
• Lower Bound of Multipartite Concurrence Based on Sub-quantum State Decomposition
• Lower bounds of concurrence for $N$-qubit systems and the detection of $k$-nonseparability of multipartite quantum systems
• Lower bound on concurrence for arbitrary-dimensional tripartite quantum systems