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

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  • Ming Li
  • Shao-Ming Fei
  • 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.

Suggested Citation

  • Ming Li & Shao-Ming Fei & Xianqing Li-Jost, 2010. "Quantum Entanglement: Separability, Measure, Fidelity of Teleportation, and Distillation," Advances in Mathematical Physics, John Wiley & Sons, vol. 2010(1).
    • Handle: RePEc:wly:jnlamp:v:2010:y:2010:i:1:n:301072
    DOI: 10.1155/2010/301072
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    References listed on IDEAS

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    1. S. P. Walborn & P. H. Souto Ribeiro & L. Davidovich & F. Mintert & A. Buchleitner, 2006. "Experimental determination of entanglement with a single measurement," Nature, Nature, vol. 440(7087), pages 1022-1024, April.
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