Estimating QSVT angles for matrix inversion with large condition numbers

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 nu...

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Bibliographic Details
Published in:Journal of computational physics Vol. 525; no. C; p. 113767
Main Authors: Novikau, I., Joseph, I.
Format: Journal Article
Language:English
Published: United States Elsevier Inc 15.03.2025
Elsevier
Subjects:
Matrix inversion
QSVT
Quantum computing
Quantum linear system algorithm
Quantum computing
Quantum linear system algorithm
Matrix inversion
QSVT
ISSN:0021-9991
Online Access:Get full text
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Summary: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.
Bibliography:USDOE
ISSN:0021-9991
DOI:10.1016/j.jcp.2025.113767