Convergence Analysis of Galerkin Approximations for the Lindblad Master Equation
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866913084082225152 |
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| author | Robin, Rémi Rouchon, Pierre |
| author_facet | Robin, Rémi Rouchon, Pierre |
| contents | This paper analyzes the numerical approximation of the Lindblad master equation on infinite-dimensional Hilbert spaces. We employ a classical Galerkin approach for spatial discretization and investigate the convergence of the discretized solution to the exact solution. Using \textit{a priori} estimates, we derive explicit convergence rates and demonstrate the effectiveness of our method through examples motivated by autonomous quantum error correction. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_11416 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Convergence Analysis of Galerkin Approximations for the Lindblad Master Equation Robin, Rémi Rouchon, Pierre Numerical Analysis Quantum Physics 81Q05, 65J10, 47N50, 65M60 This paper analyzes the numerical approximation of the Lindblad master equation on infinite-dimensional Hilbert spaces. We employ a classical Galerkin approach for spatial discretization and investigate the convergence of the discretized solution to the exact solution. Using \textit{a priori} estimates, we derive explicit convergence rates and demonstrate the effectiveness of our method through examples motivated by autonomous quantum error correction. |
| title | Convergence Analysis of Galerkin Approximations for the Lindblad Master Equation |
| topic | Numerical Analysis Quantum Physics 81Q05, 65J10, 47N50, 65M60 |
| url | https://arxiv.org/abs/2510.11416 |