Ming Li1,3, Ming-Jing Zhao3, Shao-Ming Fei2,3(), Zhi-Xi Wang2
1. College of the Science , China University of Petroleum, Qingdao 266580, China; 2. School of Mathematical Sciences , Capital Normal University , Beijing 100048, China; 3. Max- Planck- Institute for Mathematics in the Sciences , Leipzig 04103, Germany
In this review, we introduce some methods for detecting or measuring entanglement. Several nonlinear entanglement witnesses are presented. We derive a series of Bell inequalities whose maximally violations for any multipartite qubit states can be calculated by using our formulas. Both the nonlinear entanglement witnesses and the Bell inequalities can be operated experimentally. Thus they supply an effective way for detecting entanglement. We also introduce some experimental methods to measure the entanglement of formation, and the lower bound of the convex-roof extension of negativity.
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