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arxiv 2011.14930 v2 pith:YT2XJQC4 submitted 2020-11-30 quant-ph cond-mat.stat-mechhep-th

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

classification quant-ph cond-mat.stat-mechhep-th
keywords singulardecompositionvalueantiferromagneticbasescorrelationdomainground-state
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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