Park, Chae-Yeun and Kastoryano, Michael J. (2020). Geometry of learning neural quantum states. Phys. Rev. Res., 2 (2). COLLEGE PK: AMER PHYSICAL SOC. ISSN 2643-1564
Full text not available from this repository.Abstract
Combining insights from machine learning and quantum Monte Carlo, the stochastic reconfiguration method with neural network Ansatz states is a promising new direction for high-precision ground-state estimation of quantum many-body problems. Even though this method works well in practice, little is known about the learning dynamics. In this paper, we bring to light several hidden details of the algorithm by analyzing the learning landscape. In particular, the spectrum of the quantum Fisher matrix of complex restricted Boltzmann machine states exhibits a universal initial dynamics, but the converged spectrum can dramatically change across a phase transition. In contrast to the spectral properties of the quantum Fisher matrix, the actual weights of the network at convergence do not reveal much information about the system or the dynamics. Furthermore, we identify a measure of correlation in the state by analyzing entanglement in eigenvectors. We show that, generically, the learning landscape modes with least entanglement have largest eigenvalue, suggesting that correlations are encoded in large flat valleys of the learning landscape, favoring stable representations of the ground state.
Item Type: | Journal Article | ||||||||||||
Creators: |
|
||||||||||||
URN: | urn:nbn:de:hbz:38-332827 | ||||||||||||
DOI: | 10.1103/PhysRevResearch.2.023232 | ||||||||||||
Journal or Publication Title: | Phys. Rev. Res. | ||||||||||||
Volume: | 2 | ||||||||||||
Number: | 2 | ||||||||||||
Date: | 2020 | ||||||||||||
Publisher: | AMER PHYSICAL SOC | ||||||||||||
Place of Publication: | COLLEGE PK | ||||||||||||
ISSN: | 2643-1564 | ||||||||||||
Language: | English | ||||||||||||
Faculty: | Unspecified | ||||||||||||
Divisions: | Unspecified | ||||||||||||
Subjects: | no entry | ||||||||||||
Uncontrolled Keywords: |
|
||||||||||||
URI: | http://kups.ub.uni-koeln.de/id/eprint/33282 |
Downloads
Downloads per month over past year
Altmetric
Export
Actions (login required)
View Item |