Comparative Analysis on Two Quantum Algorithms for Solving the Heat Equation

Fuente: arXiv
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Main Authors: Tseng, Samantha, Chouhan, Abhyudaya, Cupidon, Dominic
Format: Preprint
Published: 2025
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author Tseng, Samantha
Chouhan, Abhyudaya
Cupidon, Dominic
author_facet Tseng, Samantha
Chouhan, Abhyudaya
Cupidon, Dominic
contents As of now, an optimal quantum algorithm solving partial differential equations eludes us. There are several different methods, each with their own strengths and weaknesses. In past years comparisons of these existing methods have been made, but new work has emerged since then. Therefore, we conducted a survey on quantum methods developed post-2020, applying two such solvers to the heat equation in one spatial dimension. By analyzing their performance (including the cost of classical extraction), we explore their precision and runtime efficiency advancements between the two, identifying advantages and considerations.
format Preprint
id arxiv_https___arxiv_org_abs_2510_04511
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Comparative Analysis on Two Quantum Algorithms for Solving the Heat Equation
Tseng, Samantha
Chouhan, Abhyudaya
Cupidon, Dominic
Quantum Physics
As of now, an optimal quantum algorithm solving partial differential equations eludes us. There are several different methods, each with their own strengths and weaknesses. In past years comparisons of these existing methods have been made, but new work has emerged since then. Therefore, we conducted a survey on quantum methods developed post-2020, applying two such solvers to the heat equation in one spatial dimension. By analyzing their performance (including the cost of classical extraction), we explore their precision and runtime efficiency advancements between the two, identifying advantages and considerations.
title Comparative Analysis on Two Quantum Algorithms for Solving the Heat Equation
topic Quantum Physics
url https://arxiv.org/abs/2510.04511