Solving wave propagation problems via geometric quantum state preparation on dispersion manifolds
- Autores
- Yakov Solomons, Lee Peleg, Netanel Barel y otros 3
- Publicado
- arXiv (Cornell University) · 9 sept 2026
- DOI
- 10.48550/arxiv.2609.10282
- Acceso
- abierto
Resumen de los autores
We present a quantum algorithm for solving partial differential equations through a linear-system formulation, focusing on wave propagation problems described by the discretized Helmholtz equation in frequency domain. Although quantum linear-system solvers offer exponential compression of the system degrees of freedom, their runtime complexity is generally governed by the condition number of the discretized operator. Exploiting the analytic structure of the differential operator can provide an alternative to explicit matrix inversion, as illustrated for the screened Poisson equation through…
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