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Batle et al. [Phys. Rev. A {\bf 72}, 032337 (2005)] and Borr\'{a}s et al.[Phys. Rev. A {\bf 74}, 022326 (2006)] studied the connection betweenentanglement and speed of quantum evolution for certain low-dimensionalbipartite quantum states. However, their studies did not cover all possiblecases. And the relation between entanglement and the maximum possible quantumevolution speed for these uncovered cases can very different from the ones thatthey have studied.

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