MQuantum algorithms of matrix operations are of great significance in many fields in science and technology. In this paper, by leveraging multi-qubit Toffoli gates and basic single-qubit operations, the quantum algorithms of matrix operations of row addition, row swapping, trace calculation and transpose are obtained. In particular, the complexities of these quantum algorithms are presented, too.
@article{arxiv.2501.15137,
title = {Quantum Algorithms for Matrix Operations Based on Unitary Transformations and Ancillary State Measurements},
author = {Yu-Hang Liu and Yuan-Hong Tao and jing-Run Lan and Shao-Ming Fei},
journal= {arXiv preprint arXiv:2501.15137},
year = {2025}
}