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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2407.06340 |
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| _version_ | 1866912178463834112 |
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| author | Cook, Patrick |
| author_facet | Cook, Patrick |
| contents | In this short letter, I present a powerful application in dimensionality reduction of the lesser-used Jacobi-Davidson algorithm for the generalized eigenvalue decomposition. When combined with matrix-free implementations of relevant operators, this technique allows for the computation of the dynamics of an arbitrary quantum state to be done in $\mathcal{O}(n)$ time, where $n$ is the size of the original Hilbert space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_06340 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Tractable $\textit{a}$ $\textit{priori}$ Dimensionality Reduction for Quantum Dynamics Cook, Patrick Quantum Physics Nuclear Theory Computational Physics In this short letter, I present a powerful application in dimensionality reduction of the lesser-used Jacobi-Davidson algorithm for the generalized eigenvalue decomposition. When combined with matrix-free implementations of relevant operators, this technique allows for the computation of the dynamics of an arbitrary quantum state to be done in $\mathcal{O}(n)$ time, where $n$ is the size of the original Hilbert space. |
| title | Tractable $\textit{a}$ $\textit{priori}$ Dimensionality Reduction for Quantum Dynamics |
| topic | Quantum Physics Nuclear Theory Computational Physics |
| url | https://arxiv.org/abs/2407.06340 |