摘要
在这篇论文我们在场为它的多国参加的纯状态和变体的可分性的一个必要、足够的条件。这些条件很简单、可靠，并且他们不要求 Schmidt 分解(为二个分系统) 或外面跟踪操作。我们也以振幅的矩阵的决定因素为一个由两部组成的系统为一个本地单一的等价类给一个必要条件。
In this paper we present a necessary and sufficient condition of separability for multipartite pure states and variants of it. These conditions are very simple and calculable, and they do not require Schmidt decomposition （for two subsystems） or tracing out operations. We also give a necessary condition for a local unitary equivalence class for a bipartite system in terms of the determinant of the matrix of amplitudes.
基金
The project supported by National Natural Science Foundation of China under Grant No.60433050
the Fundamental Research Fund of Tsinghua University under Grant No.JC2003043
partially by the State Key Lab.of Intelligence Technology and System
