Curve-Fitted QPE: Extending Quantum Phase Estimation Results for a Higher Precision using Classical Post-Processing

Fuente: arXiv
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Autori principali: Lim, S. M., Susa, C. E., Cohen, R.
Natura: Preprint
Pubblicazione: 2024
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author Lim, S. M.
Susa, C. E.
Cohen, R.
author_facet Lim, S. M.
Susa, C. E.
Cohen, R.
contents Quantum Phase Estimation is a crucial component of several front-running quantum algorithms. Improving the efficiency and accuracy of QPE is currently a very active field of research. In this work, we present a hybrid quantum-classical approach that consists of the standard QPE circuit and classical post-processing using curve-fitting, where special attention is given to the latter. We show that our approach achieves high precision with optimal Cramér-Rao lower bound performance and is comparable in error resolution with the Variational Quantum Eigensolver and Maximum Likelihood Amplitude Estimation algorithms. Our method could potentially be further extended to the case of estimating multiple phases.
format Preprint
id arxiv_https___arxiv_org_abs_2409_15752
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Curve-Fitted QPE: Extending Quantum Phase Estimation Results for a Higher Precision using Classical Post-Processing
Lim, S. M.
Susa, C. E.
Cohen, R.
Quantum Physics
Quantum Phase Estimation is a crucial component of several front-running quantum algorithms. Improving the efficiency and accuracy of QPE is currently a very active field of research. In this work, we present a hybrid quantum-classical approach that consists of the standard QPE circuit and classical post-processing using curve-fitting, where special attention is given to the latter. We show that our approach achieves high precision with optimal Cramér-Rao lower bound performance and is comparable in error resolution with the Variational Quantum Eigensolver and Maximum Likelihood Amplitude Estimation algorithms. Our method could potentially be further extended to the case of estimating multiple phases.
title Curve-Fitted QPE: Extending Quantum Phase Estimation Results for a Higher Precision using Classical Post-Processing
topic Quantum Physics
url https://arxiv.org/abs/2409.15752