| Title |
Autoencoder-aided analysis of low-dimensional Hilbert spaces / |
| Authors |
Žlabys, Giedrius ; Račiūnas, Mantas ; Anisimovas, Egidijus |
| DOI |
10.3952/physics.v61i4.4639 |
| Full Text |
|
| Is Part of |
Lithuanian journal of physics.. Vilnius : Lietuvos mokslo akademija. 2021, vol. 61, no. 4, p. 205-214.. ISSN 1648-8504. eISSN 2424-3647 |
| Keywords [eng] |
feedforward autoencoder ; low-dimensional Hilbert spaces ; numerical ground-state estimation |
| Abstract [eng] |
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. |
| Published |
Vilnius : Lietuvos mokslo akademija |
| Type |
Journal article |
| Language |
English |
| Publication date |
2021 |
