期刊
IEEE TRANSACTIONS ON PARALLEL AND DISTRIBUTED SYSTEMS
卷 33, 期 11, 页码 2846-2859出版社
IEEE COMPUTER SOC
DOI: 10.1109/TPDS.2022.3145163
关键词
Quantum system; deep learning; new generation sunway supercomputer; spin-1/2 J(1) - J(2) Heisenberg model
资金
- National Key Research and Development Program of China [2016YFB1000403]
In this study, a novel simulation method based on convolutional neural networks (CNNs) was proposed for studying highly frustrated quantum many-body systems. By using transfer learning and CNN's translational invariance, the researchers successfully simulated a 24 x 24 lattice quantum system in a large-scale system, achieving remarkable accuracy and unprecedented scale.
Efficient numerical methods are promising tools for delivering unique insights into the fascinating properties of physics, such as the highly frustrated quantum many-body systems. However, the computational complexity of obtaining the wave functions for accurately describing the quantum states increases exponentially with respect to particle number. Here we present a novel convolutional neural network (CNN) for simulating the two-dimensional highly frustrated spin-1/2 J(1) - J(2) Heisenberg model, meanwhile the simulation is performed at an extreme scale system with low cost and high scalability. By ingenious employment of transfer learning and CNN's translational invariance, we successfully investigate the quantum system with the lattice size up to 24 x 24, within 30 million cores of the new generation of sunway supercomputer. The final achievement demonstrates the effectiveness of CNN-based representation of quantum-state and brings the state-of-the-art record up to a brand-new level from both aspects of remarkable accuracy and unprecedented scales.
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