Generalized Schmidt decomposition and classification of three-quantum-bit states
Generalized Schmidt decomposition and classification of three-quantum-bit states
复制标题
DOI：
10.1103/physrevlett.85.1560
复制
发表时间：
2000-08-14
影响因子：
8.6
通讯作者：
Tarrach, R
中科院分区：
文献类型：
--
作者：
Acín, A;Andrianov, A;Tarrach, R
我们证明，对于任何纯的三量子位状态，本地基础的存在，允许人们建立一组五个正交产品状态，以唯一的形式编写状态。这导致了一种规范形式，该形式概括了两量子位施密特的分解。它以五个纠缠参数为特征。它导致对三量子位状态的完整分类。它表明，适当的局部测量结果的正确结果总是消除其他两个当事方之间的所有纠缠。
We prove for any pure three-quantum-bit state the existence of local bases which allow one to build a set of five orthogonal product states in terms of which the state can be written in a unique form. This leads to a canonical form which generalizes the two-quantum-bit Schmidt decomposition. It is uniquely characterized by the five entanglement parameters. It leads to a complete classification of the three-quantum-bit states. It shows that the right outcome of an adequate local measurement always erases all entanglement between the other two parties.