Mathematics (Jan 2024)

Solving the Electronic Schrödinger Equation by Pairing Tensor-Network State with Neural Network Quantum State

  • Bowen Kan,
  • Yingqi Tian,
  • Daiyou Xie,
  • Yangjun Wu,
  • Yi Fan,
  • Honghui Shang

DOI
https://doi.org/10.3390/math12030433
Journal volume & issue
Vol. 12, no. 3
p. 433

Abstract

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Neural network methods have shown promise for solving complex quantum many-body systems. In this study, we develop a novel approach through incorporating the density-matrix renormalization group (DMRG) method with the neural network quantum state method. The results demonstrate that, when tensor-network pre-training is introduced into the neural network, a high efficiency can be achieved for quantum many-body systems with strong correlations.

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