<正> In this paper the entanglement of pure 3-qubit states is discussed.The local unitary(LU)polynomialinvariants that are closely related to the canonical forms are constructed and the relations of the coeffici...<正> In this paper the entanglement of pure 3-qubit states is discussed.The local unitary(LU)polynomialinvariants that are closely related to the canonical forms are constructed and the relations of the coefficients of thecanonical forms are given.Then the stochastic local operations and classical communication(SLOCC)classification ofthe states are discussed on the basis of the canonical forms,and the symmetric canonical form of the states without3-tangle is discussed.Finally,we give the relation between the LU polynomial invariants and SLOCC classification.展开更多
稀疏矩阵及稀疏线性方程组求解已成为大规模电网状态估计计算效率的瓶颈,阐释了基于BTF和Gilbert-Peierls算法的稀疏矩阵直接求解器KLU(Clark Kent LU),并将其嵌入到智能调度技术支持系统中生产运行的状态估计程序功能。首先在计算得到...稀疏矩阵及稀疏线性方程组求解已成为大规模电网状态估计计算效率的瓶颈,阐释了基于BTF和Gilbert-Peierls算法的稀疏矩阵直接求解器KLU(Clark Kent LU),并将其嵌入到智能调度技术支持系统中生产运行的状态估计程序功能。首先在计算得到雅可比矩阵的基础上基于OpenMP并行化技术快速求解信息矩阵;然后使用KLU求解器进行信息矩阵的因子表符号分析和数值分解;最后在状态估计计算过程中使用KLU求解器求解线性方程组,从而提高大规模电网状态估计的计算效率。通过省中心、分中心、模型数据中心D5000的状态估计实际应用,证明了该方法的有效性和实用性。展开更多
基金The project supported by National Natural Science Foundation of China under Grant No. 6J3433050 and the Natural Science Foundation of Xuzhou Normal University （Key Project） under Grant No. 03XLA04
文摘<正> In this paper the entanglement of pure 3-qubit states is discussed.The local unitary(LU)polynomialinvariants that are closely related to the canonical forms are constructed and the relations of the coefficients of thecanonical forms are given.Then the stochastic local operations and classical communication(SLOCC)classification ofthe states are discussed on the basis of the canonical forms,and the symmetric canonical form of the states without3-tangle is discussed.Finally,we give the relation between the LU polynomial invariants and SLOCC classification.
文摘稀疏矩阵及稀疏线性方程组求解已成为大规模电网状态估计计算效率的瓶颈,阐释了基于BTF和Gilbert-Peierls算法的稀疏矩阵直接求解器KLU(Clark Kent LU),并将其嵌入到智能调度技术支持系统中生产运行的状态估计程序功能。首先在计算得到雅可比矩阵的基础上基于OpenMP并行化技术快速求解信息矩阵;然后使用KLU求解器进行信息矩阵的因子表符号分析和数值分解;最后在状态估计计算过程中使用KLU求解器求解线性方程组,从而提高大规模电网状态估计的计算效率。通过省中心、分中心、模型数据中心D5000的状态估计实际应用,证明了该方法的有效性和实用性。
