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Journal Article Global optimization in variational quantum algorithms via dynamic tunneling method
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Authors
Seung Park, Kyunghyun Baek, Seungjin Lee, Mahn-Soo Choi
Issue Date
2024-08
Citation
New Journal of Physics, v.26, pp.1-11
ISSN
1367-2630
Publisher
Institute of Physics Publishing
Language
English
Type
Journal Article
DOI
https://dx.doi.org/10.1088/1367-2630/ad64fc
Abstract
We present a global optimization routine for the variational quantum algorithms, which utilizes the dynamic tunneling flow. Originally designed to leverage information gathered by a gradient-based optimizer around local minima, we adapt the conventional dynamic tunneling flow to exploit the distance measure of quantum states, resolving issues of extrinsic degeneracy arising from the parametrization of quantum states. Our global optimization algorithm is applied to the variational quantum eigensolver for the transverse-field Ising model to demonstrate the performance of our routine while comparing it with the conventional dynamic tunneling method, which is based on the Euclidean distance measure on the parameter space.
KSP Keywords
Euclidean distance measure, Global optimization algorithm, Ising model, Local minima, Quantum states, Tunneling method, parameter space, quantum algorithm
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(CC BY)
CC BY