Lower Bound of Concurrence Based on Positive Maps

Abstract

We study the concurrence of arbitrary dimensional bipartite quantum systems. An explicit analytical lower bound of concurrence is obtained, which detects entanglement for some quantum states better than some well-known separability criteria, and improves the lower bounds such as from the PPT, realignment criteria and the Breuer's entanglement witness.

8 pages, 1 figure

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Cited by in corpus (10)

• Lower Bound of Concurrence and Distillation for Arbitrary Dimensional Bipartite Quantum States
• Improved lower and upper bounds for entanglement of formation
• Numerical and analytical results for geometric measure of coherence and geometric measure of entanglement
• Evaluation of entanglement measures by a single observable
• Triangle inequalities in coherence measures and entanglement concurrence
• Lower and upper bounds for entanglement of Rényi-$\alpha$ entropy
• Symmetric measurement-induced lower bounds of concurrence
• Lower bound on concurrence for arbitrary-dimensional tripartite quantum systems
• A note on lower bounds of concurrence for arbitrary dimensional bipartite quantum states
• Weak Schmidt decomposition and generalized Bell basis related to Hadamard matrices