KIP publications

year 2019
author(s) Stefanie Czischek and Jan M. Pawlowski and Thomas Gasenzer and Gärttner, Martin
title "Sampling scheme for neuromorphic simulation of entangled quantum systems"
KIP-Nummer HD-KIP 19-60
KIP-Gruppe(n) F27,F30
document type Paper
Keywords Quantum Physics, Condensed Matter - Disordered Systems and Neural Networks
source arXiv:1907.12844 [quant-ph]
Abstract (en)

Due to the complexity of the space of quantum many-body states the computation of expectation values by statistical sampling is, in general, a hard task. Neural network representations of such quantum states which can be physically implemented by neuromorphic hardware could enable efficient sampling. A scheme is proposed which leverages this capability to speed up sampling from so-called neural quantum states encoded by a restricted Boltzmann machine. Due to the complex network parameters a direct hardware implementation is not feasible. We overcome this problem by considering a phase reweighting scheme for sampling expectation values of observables. Applying our method to a set of paradigmatic entangled quantum states we find that, in general, the phase-reweighted sampling is subject to a form of sign problem, which renders the sampling computationally costly. The use of neuromorphic chips could allow reducing computation times and thereby extend the range of tractable system sizes.

  author   = {{Czischek}, Stefanie and {Pawlowski}, Jan M. and {Gasenzer}, Thomas and {G{\"a}rttner}, Martin},
  title    = {{Sampling scheme for neuromorphic simulation of entangled quantum systems}},
  journal  = {arXiv:1907.12844 [quant-ph]},
  year     = {2019},
  volume   = {},
  pages    = {},
  month    = {Jul},
  url      = {}
Datei pdf
URL arXiv:1907.12844 [quant-ph]
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