An entanglement measure based on two-order minors

作者：Long, Yinxiang^*; Qiu, Daowen; Long, Dongyang

来源：Journal of Physics A-Mathematical and Theoretical, 2009, 42(26): 265301.

DOI：10.1088/1751-8113/42/26/265301

In this paper, a new entanglement measure called EMM (the entanglement measure based on minors) has been constructed by the convex roof method and proved to be a good entanglement measure according to the axiomatic point of view. Computation of EMM can be finished directly by the two-order minors of a coefficient matrix, instead of the eigenvalues of the density operator required by most of the other entanglement measures, so it is very fast and very easy. On the other hand, EMM(vertical bar psi >) is related to the modified Bures distance between vertical bar psi > and the closest separable state, so it has geometry meaning. We also investigate the relations between EMM and the entanglement of formation, negativity and logarithmic negativity, and discover that EMM is always smaller than or equal to them. EMM is equivalent to concurrence. However, their definitions and methods of proof are completely different. EMM will improve the efficiency of searching for maximally entangled multipartite states.

• 出版日期2009-7-3
• 单位中山大学