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Quantum Simulation
A quantum advection-diffusion solver using the quantum singular value transform
arXiv
Authors: Gard Olav Helle, Tommaso Benacchio, Anna Bomme Ousager, Jørgen Ellegaard Andersen
Year
2025
Paper ID
6038
Status
Preprint
Abstract Read
~2 min
Abstract Words
64
Citations
N/A
Abstract
We present a quantum algorithm for the simulation of the linear advection-diffusion equation based on block encodings of high order finite-difference operators and the quantum singular value transform. Our complexity analysis shows that the higher order methods significantly reduce the number of gates and qubits required to reach a given accuracy. The theoretical results are supported by numerical simulations of one- and two-dimensional benchmarks.
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- We present a quantum algorithm for the simulation of the linear advection-diffusion equation based on block encodings of high order finite-difference operators and the quantum...
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