Estimating QSVT angles for matrix inversion with large condition numbers
Quantum Physics
2025-01-24 v2 Computational Physics
Abstract
Quantum Singular Value Transformation (QSVT) is a state-of-the-art, near-optimal quantum algorithm that can be used for matrix inversion. The QSVT circuit is parameterized by a sequence of angles that must be pre-calculated classically, with the number of angles increasing as the matrix condition number grows. Computing QSVT angles for ill-conditioned problems is a numerically challenging task. We propose a numerical technique for estimating QSVT angles for large condition numbers. This technique allows one to avoid expensive numerical computations of QSVT angles and to emulate QSVT circuits for solving ill-conditioned problems.
Keywords
Cite
@article{arxiv.2408.15453,
title = {Estimating QSVT angles for matrix inversion with large condition numbers},
author = {I. Novikau and I. Joseph},
journal= {arXiv preprint arXiv:2408.15453},
year = {2025}
}