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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 |
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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.
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Received: 30 December 2009
Revised: 04 May 2010
Accepted manuscript online:
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Fund: 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). |
Cite this article:
Li Ming(李明), Fei Shao-Ming(费少明), and Li-Jost Xianqing(李先清) Concurrence, tangle and fully entangled fraction 2010 Chin. Phys. B 19 090315
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