A Quantum Algorithm for Functions of Multiple Commuting Hermitian Matrices
Quantum Physics
2023-02-23 v1
Abstract
Quantum signal processing allows for quantum eigenvalue transformation with Hermitian matrices, in which each eigenspace component of an input vector gets transformed according to its eigenvalue. In this work, we introduce the multivariate quantum eigenvalue transformation for functions of commuting Hermitian matrices. We then present a framework for working with polynomial matrix functions in which we may solve MQET, and give the application of computing functions of normal matrices using a quantum computer.
Cite
@article{arxiv.2302.11139,
title = {A Quantum Algorithm for Functions of Multiple Commuting Hermitian Matrices},
author = {Yonah Borns-Weil and Tahsin Saffat and Zachary Stier},
journal= {arXiv preprint arXiv:2302.11139},
year = {2023}
}