混合纠缠态的几何描述

THE GEOMETRICAL PICTURE OF MIXED ENTANGLED STATES

给出了Hilbert Schmidt(H S)空间中密度矩阵的向量表示 ,建立了完整的H S空间中的度规 ,由此将混合纠缠态的判据纳入到直观的几何图像中 ,讨论了最大混合态附近可分离态的紧致邻域 ,得到了关于该邻域体积测度的更强的结果 .

The vector representation of density matrix is given in this paper. Any density matrix can be expanded in a real linear Hilbert space. The criteria for inseparability of mixed states can be expressed in the geometrical picture. Such expression is concise and perceptible. The neighborhood of the maximal mixed state is analyzed and a stronger result about the volume measure of the neighborhood is obtained.