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Trapped Ion Quantum Computing
Comparative Analysis on Two Quantum Algorithms for Solving the Heat Equation
arXiv
Authors: Samantha Tseng, Abhyudaya Chouhan, Dominic Cupidon
Year
2025
Paper ID
51824
Status
Preprint
Abstract Read
~2 min
Abstract Words
90
Citations
N/A
Abstract
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.
Why This Paper Matters
- This paper contributes to the Trapped-Ion Quantum Computing research area in the Quantum Articles archive.
- It adds a 2025 reference point for readers tracking recent quantum research.
- As of now, an optimal quantum algorithm solving partial differential equations eludes us.
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