A lower bound of concurrence for multipartite quantum systems

Abstract

We present a lower bound of concurrence for four-partite systems in terms of the concurrence for $M(2\le M\le 3)$ part quantum systems and give an analytical lower bound for $2\otimes 2\otimes 2\otimes 2$ mixed quantum sates. It is shown that these lower bounds are able to improve the existing bounds and detect entanglement better. Furthermore, our approach can be generalized to multipartite quantum systems.

9 pages,2 figures

References in corpus (5)

• Concurrence of arbitrary dimensional bipartite quantum states
• Optimal entanglement criterion for mixed quantum states
• Lower bounds on concurrence and separability conditions
• Optimal entanglement witnesses based on local orthogonal observables
• Lower Bound of Multipartite Concurrence Based on Sub-quantum State Decomposition

Cited by in corpus (2)

• Entanglement dynamics of three-qubit states in noisy channels
• Projection based lower bounds of concurrence for multipartite quantum systems