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MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
10/2010

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

Ming Li, Shao-Ming Fei and Xianqing Li-Jost

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.

Received:
Feb 16, 2010
Published:
Feb 17, 2010

Related publications

inJournal
2010 Journal Open Access
Ming Li, Shao-Ming Fei and Xianqing Li-Jost

Quantum entanglement : separability, measure, fidelity of teleportation, and distillation

In: Advances in mathematical physics, 2010 (2010), p. 301072