2021年
AUTOENCODER-AIDED ANALYSIS OF LOW-DIMENSIONAL HILBERT SPACES
Lithuanian Journal of Physics
- ,
- ,
- 巻
- 61
- 号
- 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
- ID情報
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- DOI : 10.3952/physics.v61i4.4639
- ISSN : 1648-8504
- SCOPUS ID : 85126104752