论文标题
一维海森堡模型中自旋相关矩阵的量子奇异值分解
Quantum Singular Value Decomposition of Spin Correlation Matrix in One-Dimensional Heisenberg Model
论文作者
论文摘要
我们提出了自旋相关矩阵的奇异值分解，这些分解是根据一维抗铁磁量子量子模型定义的。分解产生了一个数据集，该数据集与经典抗铁磁状态的各种域激发相吻合。我们确定单数值的缩放关系是域大小的函数。奇异值与地面波函数中碱基重量的平方密切相关。奇异值分解的性质是精确估计地面波函数的适当碱基和相应的权重。
We present singular value decomposition of spin correlation matrix defined from the ground state of one-dimensional antiferromagnetic quantum Heisenberg model. The decomposition creates a data set that coincides with various domain excitations from classical antiferromagnetic state. We determine the scaling relation for the singular values as a function of the domain size. The singular values are closely related to the square of weights of the bases in the ground-state wavefunction. The nature of the singular value decomposition is to precisely estimate the appropriate bases and corresponding weights of the ground-state wavefunction.
