Investigation of Perturbation Theory with Variational Quantum Algorithm

Variational Quantum Algorithms are among the most promising systems to implement quantum computing under the Noisy-Intermediate Scale Quantum (NISQ) technology. In variational quantum algorithm, wavefunction represented by a parametrized ansatz and variational parameters are updated iteratively with...

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Bibliographic Details
Published inarXiv.org
Main Author H Davoodi Yeganeh
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 30.12.2022
Subjects
Algorithms
Mathematical analysis
Perturbation theory
Quantum computers
Quantum computing
Wave functions
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Summary:Variational Quantum Algorithms are among the most promising systems to implement quantum computing under the Noisy-Intermediate Scale Quantum (NISQ) technology. In variational quantum algorithm, wavefunction represented by a parametrized ansatz and variational parameters are updated iteratively with a classical computer based on the measurement outputs from the quantum computer. In this paper, we investigate perturbation theory with these algorithms and prospect the possibility of using the variational quantum algorithm to simulate quantum dynamics in perturbation theory. We illustrate the use of algorithms with detailed examples which are in good agreement with analytical calculations
ISSN:2331-8422