Work

Tractable $\textit{a}$ $\textit{priori}$ Dimensionality Reduction for Quantum Dynamics

Year: 2024

Type: preprint

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 $\mathcal{O}(n)$ time, where $n$ is the size of the original Hilbert space.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2407.06340

Author: Cook, Patrick

Institutions: Facility for Rare Isotope Beams, Michigan State University

Language: English

Topic: Quantum Computing Algorithms and Architecture

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

Funders: U.S. Department of Defense, National Defense Science and Engineering Graduate

OpenAlex ID: W4400518669

Cites:

Cited by:

Related to: 10