Comment on arXiv:2307.08384 "Efficient Quantum State Preparation with Walsh Series"

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Autori principali: Pellini, Riccardo, Dacrema, Maurizio Ferrari
Natura: Preprint
Pubblicazione: 2025
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author Pellini, Riccardo
Dacrema, Maurizio Ferrari
author_facet Pellini, Riccardo
Dacrema, Maurizio Ferrari
contents In this paper, we discuss the Walsh Series Loader (WSL) algorithm, proposed by. In particular, we observe that the paper does not describe how to implement the term of order zero of the operator WSL is based on. While this does not affect the theoretical validity of WSL, it poses obstacles for practitioners aiming to use WSL because, as we show in our experiments, an incorrect implementation leads to states with very poor fidelity. In this paper, we describe how to implement the full quantum circuit required by WSL, including the term of order zero, releasing our source code online, and show that the algorithm works correctly. Finally, we empirically show how, as was theoretically demonstrated in the original article, truncated WSL does not prepare well highly entangled states.
format Preprint
id arxiv_https___arxiv_org_abs_2502_05193
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Comment on arXiv:2307.08384 "Efficient Quantum State Preparation with Walsh Series"
Pellini, Riccardo
Dacrema, Maurizio Ferrari
Quantum Physics
In this paper, we discuss the Walsh Series Loader (WSL) algorithm, proposed by. In particular, we observe that the paper does not describe how to implement the term of order zero of the operator WSL is based on. While this does not affect the theoretical validity of WSL, it poses obstacles for practitioners aiming to use WSL because, as we show in our experiments, an incorrect implementation leads to states with very poor fidelity. In this paper, we describe how to implement the full quantum circuit required by WSL, including the term of order zero, releasing our source code online, and show that the algorithm works correctly. Finally, we empirically show how, as was theoretically demonstrated in the original article, truncated WSL does not prepare well highly entangled states.
title Comment on arXiv:2307.08384 "Efficient Quantum State Preparation with Walsh Series"
topic Quantum Physics
url https://arxiv.org/abs/2502.05193