Mutual information-assisted adaptive variational quantum eigensolver

  • Adaptive construction of ansatz circuits offers a promising route towards applicable variational quantum eigensolvers on near-term quantum hardware. Those algorithms aim to build up optimal circuits for a certain problem and ansatz circuits are adaptively constructed by selecting and adding entanglers from a predefined pool. In this work, we propose a way to construct entangler pools with reduced size by leveraging classical algorithms. Our method uses mutual information between the qubits in classically approximated ground state to rank and screen the entanglers. The density matrix renormalization group method is employed for classical precomputation in this work. We corroborate our method numerically on small molecules. Our numerical experiments show that a reduced entangler pool with a small portion of the original entangler pool can achieve same numerical accuracy. We believe that our method paves a new way for adaptive construction of ansatz circuits for variational quantumAdaptive construction of ansatz circuits offers a promising route towards applicable variational quantum eigensolvers on near-term quantum hardware. Those algorithms aim to build up optimal circuits for a certain problem and ansatz circuits are adaptively constructed by selecting and adding entanglers from a predefined pool. In this work, we propose a way to construct entangler pools with reduced size by leveraging classical algorithms. Our method uses mutual information between the qubits in classically approximated ground state to rank and screen the entanglers. The density matrix renormalization group method is employed for classical precomputation in this work. We corroborate our method numerically on small molecules. Our numerical experiments show that a reduced entangler pool with a small portion of the original entangler pool can achieve same numerical accuracy. We believe that our method paves a new way for adaptive construction of ansatz circuits for variational quantum algorithms.show moreshow less

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Metadaten
Author:Zi-Jian Zhang, Thi Ha Kyaw, Jakob S. KottmannORCiDGND, Matthias Degroote, Alán Aspuru-Guzik
Frontdoor URLhttps://opus.bibliothek.uni-augsburg.de/opus4/101953
ISSN:2058-9565OPAC
Parent Title (English):Quantum Science and Technology
Publisher:IOP Publishing
Place of publication:Philadelphia, PA
Type:Article
Language:English
Year of first Publication:2021
Release Date:2023/02/14
Tag:Electrical and Electronic Engineering; Physics and Astronomy (miscellaneous); Materials Science (miscellaneous); Atomic and Molecular Physics, and Optics
Volume:6
Issue:3
First Page:035001
DOI:https://doi.org/10.1088/2058-9565/abdca4
Institutes:Fakultät für Angewandte Informatik
Fakultät für Angewandte Informatik / Institut für Informatik
Fakultät für Angewandte Informatik / Institut für Informatik / Professur für Quantenalgorithmik