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arXiv · 2011.14930

Quantum Singular Value Decomposition of Spin Correlation Matrix in One-Dimensional Heisenberg Model

Kohei Ohgane·Tatsuya Kumamoto·Hiroaki Matsueda
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Abstract

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.

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Kohei Ohgane, Tatsuya Kumamoto, Hiroaki Matsueda. 2020-11-30. Quantum Singular Value Decomposition of Spin Correlation Matrix in One-Dimensional Heisenberg Model. https://doi.org/10.7566/jpsj.90.054001

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