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arXiv · 2501.15137

Quantum Algorithms for Matrix Operations Based on Unitary Transformations and Ancillary State Measurements

Yu-Hang Liu·Yuan-Hong Tao·jing-Run Lan·Shao-Ming Fei
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Abstract

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.

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Yu-Hang Liu, Yuan-Hong Tao, jing-Run Lan, Shao-Ming Fei. 2025-01-25. Quantum Algorithms for Matrix Operations Based on Unitary Transformations and Ancillary State Measurements. https://arxiv.org/abs/2501.15137

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