Concurrence-based entanglement measure for Werner States

Abstract

We give explicit expressions for entanglement measures of Werner states in arbitrary dimensions in terms of concurrence and tangle. We show that an optimal ensemble decomposition for a joint density matrix of a Werner state can achieve the minimum average concurrence and tangle simultaneously. Furthermore, the same decomposition also attains entanglement of formation for Werner states.

5 pages, no figure

References in corpus (5)

• Quantum Phase Transitions and Bipartite Entanglement
• Measures and dynamics of entangled states
• Decoherence and multipartite entanglement
• Concurrence of arbitrary dimensional bipartite quantum states
• Concurrence of mixed multi-partite quantum states

Cited by in corpus (13)

• Open-System Dynamics of Entanglement
• A Note on Fully Entangled Fraction
• Compatible quantum correlations: on extension problems for Werner and isotropic states
• A Study of Teleportation and Super Dense Coding capacity in Remote Entanglement Distribution
• Lower Bound of Concurrence and Distillation for Arbitrary Dimensional Bipartite Quantum States
• Lower Bound of Concurrence for Qubit Systems
• Improved lower and upper bounds for entanglement of formation
• Relative entropy of entanglement of rotationally invariant states
• Estimating Concurrence via Entanglement Witnesses
• Quantifying entanglement of two-qubit Werner states
• On the properties of qudits
• Lower and upper bounds for entanglement of Rényi-$\alpha$ entropy
• Projection based lower bounds of concurrence for multipartite quantum systems