Deep Autoregressive Models for the Efficient Variational Simulation of Many-Body Quantum Systems

Or Sharir*, Yoav Levine, Noam Wies, Giuseppe Carleo, Amnon Shashua

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

96 Scopus citations


Artificial neural networks were recently shown to be an efficient representation of highly entangled many-body quantum states. In practical applications, neural-network states inherit numerical schemes used in variational Monte Carlo method, most notably the use of Markov-chain Monte Carlo (MCMC) sampling to estimate quantum expectations. The local stochastic sampling in MCMC caps the potential advantages of neural networks in two ways: (i) Its intrinsic computational cost sets stringent practical limits on the width and depth of the networks, and therefore limits their expressive capacity; (ii) its difficulty in generating precise and uncorrelated samples can result in estimations of observables that are very far from their true value. Inspired by the state-of-the-art generative models used in machine learning, we propose a specialized neural-network architecture that supports efficient and exact sampling, completely circumventing the need for Markov-chain sampling. We demonstrate our approach for two-dimensional interacting spin models, showcasing the ability to obtain accurate results on larger system sizes than those currently accessible to neural-network quantum states.

Original languageAmerican English
Article number020503
JournalPhysical Review Letters
Issue number2
StatePublished - 16 Jan 2020

Bibliographical note

Funding Information:
This work is supported by ISF Center Grant No. 1790/12 and by the European Research Council (TheoryDL project). Y. L. is supported by the Adams Fellowship Program of the Israel Academy of Sciences and Humanities. QMC simulations for the 2D transverse-field Ising model have been performed using the open-source ALPS Library .

Publisher Copyright:
© 2020 American Physical Society.


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