Optimizing State Preparation for Variational Quantum Regression on NISQ Hardware

Fuente: arXiv
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Autori principali: Perkkola, Frans, Salmeperä, Ilmo, de Griend, Arianne Meijer-van, Wang, C. -C. Joseph, Bennink, Ryan S., Nurminen, Jukka K.
Natura: Preprint
Pubblicazione: 2025
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author Perkkola, Frans
Salmeperä, Ilmo
de Griend, Arianne Meijer-van
Wang, C. -C. Joseph
Bennink, Ryan S.
Nurminen, Jukka K.
author_facet Perkkola, Frans
Salmeperä, Ilmo
de Griend, Arianne Meijer-van
Wang, C. -C. Joseph
Bennink, Ryan S.
Nurminen, Jukka K.
contents The execution of quantum algorithms on modern hardware is often constrained by noise and qubit decoherence, limiting the circuit depth and the number of gates that can be executed. Circuit optimization techniques help mitigate these limitations, enhancing algorithm feasibility. In this work, we implement, optimize, and execute a variational quantum regression algorithm using a novel state preparation method. By leveraging ZX-calculus-based optimization techniques, such as Pauli pushing, phase folding, and Hadamard pushing, we achieve a more efficient circuit design. Our results demonstrate that these optimizations enable the successful execution of the quantum regression algorithm on current hardware. Furthermore, the techniques presented are broadly applicable to other quantum circuits requiring arbitrary real-valued state preparation, advancing the practical implementation of quantum algorithms.
format Preprint
id arxiv_https___arxiv_org_abs_2505_17713
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Optimizing State Preparation for Variational Quantum Regression on NISQ Hardware
Perkkola, Frans
Salmeperä, Ilmo
de Griend, Arianne Meijer-van
Wang, C. -C. Joseph
Bennink, Ryan S.
Nurminen, Jukka K.
Quantum Physics
The execution of quantum algorithms on modern hardware is often constrained by noise and qubit decoherence, limiting the circuit depth and the number of gates that can be executed. Circuit optimization techniques help mitigate these limitations, enhancing algorithm feasibility. In this work, we implement, optimize, and execute a variational quantum regression algorithm using a novel state preparation method. By leveraging ZX-calculus-based optimization techniques, such as Pauli pushing, phase folding, and Hadamard pushing, we achieve a more efficient circuit design. Our results demonstrate that these optimizations enable the successful execution of the quantum regression algorithm on current hardware. Furthermore, the techniques presented are broadly applicable to other quantum circuits requiring arbitrary real-valued state preparation, advancing the practical implementation of quantum algorithms.
title Optimizing State Preparation for Variational Quantum Regression on NISQ Hardware
topic Quantum Physics
url https://arxiv.org/abs/2505.17713