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DOI | 10.1038/s41467-019-09066-4 |
Constructing exact representations of quantum many-body systems with deep neural networks | |
Carleo, Giuseppe1,2; Nomura, Yusuke3; Imada, Masatoshi3 | |
2019-03-08 | |
发表期刊 | NATURE COMMUNICATIONS
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ISSN | 2041-1723 |
出版年 | 2018 |
卷号 | 9 |
文章类型 | Article |
语种 | 英语 |
国家 | USA; Switzerland; Japan |
英文摘要 | Obtaining accurate properties of many-body interacting quantum matter is a long-standing challenge in theoretical physics and chemistry, rooting into the complexity of the many-body wave-function. Classical representations of many-body states constitute a key tool for both analytical and numerical approaches to interacting quantum problems. Here, we introduce a technique to construct classical representations of many-body quantum systems based on artificial neural networks. Our constructions are based on the deep Boltzmann machine architecture, in which two layers of hidden neurons mediate quantum correlations. The approach reproduces the exact imaginary-time evolution for many-body lattice Hamiltonians, is completely deterministic, and yields networks with a polynomially-scaling number of neurons. We provide examples where physical properties of spin Hamiltonians can be efficiently obtained. Also, we show how systematic improvements upon existing restricted Boltzmann machines ansatze can be obtained. Our method is an alternative to the standard path integral and opens new routes in representing quantum many-body states. |
领域 | 资源环境 |
收录类别 | SCI-E |
WOS记录号 | WOS:000453244600005 |
WOS关键词 | SIMULATIONS ; STATES |
WOS类目 | Multidisciplinary Sciences |
WOS研究方向 | Science & Technology - Other Topics |
URL | 查看原文 |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://119.78.100.173/C666/handle/2XK7JSWQ/204254 |
专题 | 资源环境科学 |
作者单位 | 1.Flatiron Inst, Ctr Computat Quantum Phys, 162 5th Ave, New York, NY 10010 USA; 2.Swiss Fed Inst Technol, Inst Theoret Phys, Wolfgang Pauli Str 27, CH-8093 Zurich, Switzerland; 3.Univ Tokyo, Dept Appl Phys, Bunkyo Ku, 7-3-1 Hongo, Tokyo 1138656, Japan |
推荐引用方式 GB/T 7714 | Carleo, Giuseppe,Nomura, Yusuke,Imada, Masatoshi. Constructing exact representations of quantum many-body systems with deep neural networks[J]. NATURE COMMUNICATIONS,2019,9. |
APA | Carleo, Giuseppe,Nomura, Yusuke,&Imada, Masatoshi.(2019).Constructing exact representations of quantum many-body systems with deep neural networks.NATURE COMMUNICATIONS,9. |
MLA | Carleo, Giuseppe,et al."Constructing exact representations of quantum many-body systems with deep neural networks".NATURE COMMUNICATIONS 9(2019). |
条目包含的文件 | 条目无相关文件。 |
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