Abstract: The quantum entanglement is the necessary resource，which could realize some quantum tasks.It is very important to study the algorithm for the entanglement transformation between the quantum states determinately or probability.An algorithm first is presented that transforms one pure bipartite quantum state into a mixed bipartite by Local Operations and Classical Communication（LOCC），this algorithm is much simpler than the original algorithm.The algorithm for the transformation between two pure bipartite states with catalysis by LOCC is then discussed.

Key words: entanglement transformation, entanglement catalysis, quantum algorithm

摘要： 量子纠缠是一些量子信息处理过程中必不可少的资源，研究量子态之间确定的或概率的纠缠转化的算法是量子信息理论里一项重要的任务。首先考虑了利用局域操作和经典通讯（LOCC）将双体量子纯态转化为混合双体态的算法，该方法算法简单，并且考虑了在催化剂的作用下，两双体纯态的纠缠转化的算法。

关键词: 纠缠转化, 纠缠催化, 量子算法