Lower Bound of Concurrence and Distillation for Arbitrary Dimensional Bipartite Quantum States

Ming-Jing Zhao, Xue-Na Zhu, Shao-Ming Fei, Xianqing Li-Jost

Published 2011-12-23Version 1

We present a lower bound of concurrence for arbitrary dimensional bipartite quantum states. This lower bound may be used to improve all the known lower bounds of concurrence. Moreover, the lower bound gives rise to an operational sufficient criterion of distillability of quantum entanglement. The significance of our result is illustrated by quantitative evaluation of entanglement for entangled states that fail to be identified by the usual concurrence estimation method, and by showing the distillability of mixed states that can not be recognized by other distillability criteria.