中文摘要：

在已完成5个量子位的密度矩阵估计基础上，采用基于压缩传感的交替方向乘子算法（ADMM），对6个量子位的量子态密度矩阵进行估计研究．并进一步分别针对无外部干扰及存在干扰情况下，与最小二乘法、Dantzig优化算法进行性能对比研究，在Matlab环境下设计量子估计的优化方案，实现快速的量子纯态的估计．实验表明ADMM在抵抗外部扰动及估计精度上的优越性．

英文摘要：

The alternating direction method of multipliers （ADMM） is used to estimate quantum density matrix with 6 qubits based on the completed research on 5 qubits estimation. In addition, the comparison with least squares and Dantzig optimization method is studied under the situations with and without external interference. The optimization schemes are implemented in Matlab environment to realize the fast estimation of quantum pure state. The experimental results show that ADMM is superior to two other algorithms in estimation accuracy and resistance to external disturbances.