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A comparative study of different machine learning methods for dissipative quantum dynamics

delete2022-11-11
delete19
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OA
AI
L
Luis E. Herrera Rodríguez
A
Arif Ullah
K
Kennet J Rueda Espinosa
P
Pavlo O. Dral *
A
Alexei A. Kananenka *
DOI:10.1088/2632-2153/ac9a9ddelete
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Abstract

Abstract

En 中文
It has been recently shown that supervised machine learning (ML) algorithms can accurately and efficiently predict long-time population dynamics of dissipative quantum systems given only short-time population dynamics. In the present article we benchmarked 22 ML models on their ability to predict long-time dynamics of a two-level quantum system linearly coupled to harmonic bath. The models include uni- and bidirectional recurrent, convolutional, and fully-connected feedforward artificial neural networks (ANNs) and kernel ridge regression (KRR) with linear and most commonly used nonlinear kernels. Our results suggest that KRR with nonlinear kernels can serve as inexpensive yet accurate way to simulate long-time dynamics in cases where the constant length of input trajectories is appropriate. Convolutional gated recurrent unit model is found to be the most efficient ANN model.
Keywords:
machine learning
open quantum systems
kernel ridge regression
spin-boson
recurrent neural networks
LSTM
GRU
CNN

Journal

M
Machine Learning-Science and Technology
IF:
4.6
Papers:
1.1K
Citations:
3.4K

Organization

U
University of Delaware
Scholars:
1.3W
Papers: 1.3W
Citations: 2.0W
X
xiamen university
Scholars:
5.8W
Papers: 3.8W
Citations: 67