論文

本文へのリンクあり
2021年

AUTOENCODER-AIDED ANALYSIS OF LOW-DIMENSIONAL HILBERT SPACES

Lithuanian Journal of Physics
  • G. Žlabys
  • ,
  • M. Račiūnas
  • ,
  • E. Anisimovas

61
4
開始ページ
205
終了ページ
214
記述言語
掲載種別
研究論文(学術雑誌)
DOI
10.3952/physics.v61i4.4639

We study the applicability of feedforward autoencoders in determining the ground state of a quantum system from a noisy signal provided in a form of random superpositions sampled from a low-dimensional subspace of the system’s Hilbert space. The proposed scheme relies on a minimum set of assumptions: the presence of a finite number of orthogonal states in the samples and a weak statistical dominance of the targeted ground state. The provided data is compressed into a two-dimensional feature space and subsequently analyzed to determine the optimal approximation to the true ground state. The scheme is applicable to single-and many-particle quantum systems as well as in the presence of magnetic frustration.

リンク情報
DOI
https://doi.org/10.3952/physics.v61i4.4639
Scopus
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85126104752&origin=inward 本文へのリンクあり
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https://www.scopus.com/inward/citedby.uri?partnerID=HzOxMe3b&scp=85126104752&origin=inward
ID情報
  • DOI : 10.3952/physics.v61i4.4639
  • ISSN : 1648-8504
  • SCOPUS ID : 85126104752

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