Concurrence, tangle and fully entangled fraction

doi:10.1088/1674-1056/19/9/090315

中国物理B ›› 2010, Vol. 19 ›› Issue (9): 90315-090315.doi: 10.1088/1674-1056/19/9/090315

Concurrence, tangle and fully entangled fraction

李明¹, 费少明², 李先清³

(1)College of Mathematics and Computational Science, China University of Petroleum, Dongying 257061, China; (2)Department of Mathematics, Capital Normal University, Beijing 100037, China; (3)Max-Planck-Institute for Mathematics in the Sciences, Leipzig 04103, Germany

收稿日期:2009-12-30 修回日期:2010-05-04 出版日期:2010-09-15 发布日期:2010-09-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 10774088, 10675086, 10875081, and 10871227), and the National Basic Research Program of China(Grant No. 2004CB318000).

Concurrence, tangle and fully entangled fraction

Li Ming(李明)^a)^†, Fei Shao-Ming(费少明)^b), and Li-Jost Xianqing(李先清)^c)

^a College of Mathematics and Computational Science, China University of Petroleum, Dongying 257061, China; ^b Department of Mathematics, Capital Normal University, Beijing 100037, China; ^c Max-Planck-Institute for Mathematics in the Sciences, Leipzig 04103, Germany

Received:2009-12-30 Revised:2010-05-04 Online:2010-09-15 Published:2010-09-15
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 10774088, 10675086, 10875081, and 10871227), and the National Basic Research Program of China(Grant No. 2004CB318000).

摘要/Abstract

摘要： We show that although we cannot distil a singlet from many pairs of bound entangled states, the concurrence and the tangle of two entangled quantum states are always strictly larger than those of one of them, even both entangled quantum states are bound entangled. We present a relation between the concurrence and the fidelity of optimal teleportation. We also give new upper and lower bounds for concurrence and tangle.

Abstract: We show that although we cannot distil a singlet from many pairs of bound entangled states, the concurrence and the tangle of two entangled quantum states are always strictly larger than those of one of them, even both entangled quantum states are bound entangled. We present a relation between the concurrence and the fidelity of optimal teleportation. We also give new upper and lower bounds for concurrence and tangle.

Key words: concurrence, entanglement, teleportation

中图分类号:

0367

李明, 费少明, 李先清. Concurrence, tangle and fully entangled fraction[J]. 中国物理B, 2010, 19(9): 90315-090315.

Li Ming(李明), Fei Shao-Ming(费少明), and Li-Jost Xianqing(李先清). Concurrence, tangle and fully entangled fraction[J]. Chin. Phys. B, 2010, 19(9): 90315-090315.

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Concurrence, tangle and fully entangled fraction

Concurrence, tangle and fully entangled fraction

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