Costa, P.
, Jordan, S.
and Ostrander, A.
(2019),
Quantum algorithm for simulating the wave equation, Physical Review A, [online], https://doi.org/10.1103/physreva.99.012323, https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=924787
(Accessed October 15, 2025)
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Quantum algorithm for simulating the wave equation
Published
Author(s)
Pedro C. Costa, , Aaron Ostrander
Abstract
We present a quantum algorithm for simulating the wave equation under Dirichlet and Neumann boundary conditions. The algorithm uses Hamiltonian simulation and quantum linear system algorithms as subroutines. It relies on factorizations of discretized Laplacian operators to allow for improved scaling in truncation errors and improved scaling in state preparation relative to general purpose linear differential equation algorithms. We also consider using Hamiltonian simulation for Klein- Gordon equations and Maxwell's equations.Citation
Physical Review A
Volume
99
Issue
1
Pub Type
Journals
Download Paper
Keywords
quantum algorithm, partial differential equations
Citation
Issues
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Created January 15, 2019, Updated April 9, 2025