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

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Abstract

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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Kan, B., Tian, Y., Xie, D., Wu, Y., Fan, Y., & Shang, H. (2024). Solving the Electronic Schrödinger Equation by Pairing Tensor-Network State with Neural Network Quantum State. Mathematics, 12(3). https://doi.org/10.3390/math12030433

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