介绍了密度矩阵的概念、Hilbert-Schmidt内积、由此内积诱导的范数,然后以矩阵及算子理论为基础,借助内积这一数学工具给出了二阶、四阶、八阶密度阵的表示,并对二阶、四阶、八阶密度阵表示进行了分析,得到了相关结论,最后将其结论推广到2~n阶密度阵.
The concept of density matrix,Hilbert-Schmidt inner product and the norm induced by this inner product are introduced;and then based on the matrix and operator theory,the representation of two order,four order and eight order density matrix by using inner product are obtained;in addition,relevant conclusions are given by exploring the representation of two order,four order and eight order density matrix;finally,the conclusions are extended to 2~n order density matrix.