Tractable $\textit{a}$ $\textit{priori}$ Dimensionality Reduction for Quantum Dynamics
Quantum Physics
2025-01-08 v2 Nuclear Theory
Computational Physics
Abstract
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 time, where is the size of the original Hilbert space.
Keywords
Cite
@article{arxiv.2407.06340,
title = {Tractable $\textit{a}$ $\textit{priori}$ Dimensionality Reduction for Quantum Dynamics},
author = {Patrick Cook},
journal= {arXiv preprint arXiv:2407.06340},
year = {2025}
}