利用优化理论实现了量子局域纯态转化,详细给出了其中用到的双随机矩阵的求解过程,求出了这个双随机矩阵的通解,构造了两种不同的正定算符值测量(POVM)算子方案来实现局域纯态转化。这样我们把优化理论在局域纯态转化中的应用做了进一步的完善和延伸,为这种理论的进一步推广和实验上的实现奠定了基础。
Abstract: The authors realize the local conversion in pure states in the light the theory of majorization. Thepaper gives the general solution of doubly stochastic matrix used in the local conversion in pure state. In addition, two different POVM schemes are discussed in detail.