Quantum Entanglement: Separability, Measure, Fidelity of Teleportation and Distillation

Abstract

Quantum entanglement plays crucial roles in quantum information processing. Quantum entangled states have become the key ingredient in the rapidly expanding field of quantum information science. Although the nonclassical nature of entanglement has been recognized for many years, considerable efforts have been taken to understand and characterize its properties recently. In this review, we introduce some recent results in the theory of quantum entanglement. In particular separability criteria based on the Bloch representation, covariance matrix, normal form and entanglement witness; lower bounds, subadditivity property of concurrence and tangle; fully entangled fraction related to the optimal fidelity of quantum teleportation and entanglement distillation will be discussed in detail.

arXiv comment63 pages, 4 figures

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Cited by in corpus (6)

• A Survey on Quantum Channel Capacities
• The connection between holographic entanglement and complexity of purification
• A $(k+1)$-partite entanglement measure of $N$-partite quantum states
• Computing coherence vectors and correlation matrices, with application to quantum discord quantification
• Swapping of quantum correlations and the role of local filtering operations
• General spin systems without genuinely multipartite nonlocality