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Title: Quantum neural networks to simulate many-body quantum systems

Journal Article · · Physical Review B
 [1];  [2];  [2]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States); Univ. of Silesia, Katowice (Poland); Jagiellonian Univ., Krakow (Poland)
  2. Jagiellonian Univ., Krakow (Poland)
+ Show Author Affiliations

We conduct experimental simulations of many-body quantum systems using a hybrid classical-quantum algorithm. In our setup, the wave function of the transverse field quantum Ising model is represented by a restricted Boltzmann machine. This neural network is then trained using variational Monte Carlo assisted by a D-wave quantum sampler to find the ground-state energy. Our results clearly demonstrate that already the first generation of quantum computers can be harnessed to tackle nontrivial problems concerning physics of many-body quantum systems.

Research Organization:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
Domestic Funding; USDOE
Grant/Contract Number:
89233218CNA000001
OSTI ID:
1525838
Report Number(s):
LA-UR--18-23838
Journal Information:
Physical Review B, Journal Name: Physical Review B Journal Issue: 18 Vol. 98; ISSN 2469-9950; ISSN PRBMDO
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

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Cited By (6)

Explicit demonstration of initial state construction in artificial neural networks using NetKet and IBM Q experience platform journal November 2019
Quantum fluctuation theorem for error diagnostics in quantum annealers journal November 2018
Sampling scheme for neuromorphic simulation of entangled quantum systems journal November 2019
Matrix Product State–Based Quantum Classifier journal July 2019
Explicit demonstration of initial state construction in artificial neural networks using NetKet and IBM Q experience platform text January 2019
Approximating Ground States by Neural Network Quantum States journal January 2019

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71 CLASSICAL AND QUANTUM MECHANICS
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D-Wave
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