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

2025/01/25 by Yuhang Liu, Liu, Yu-Hang, Yuan-Hong Tao +5
Computer Science · #Quantum Computing Algorithms and Architecture

paper · pdf · doi:10.48550/arxiv.2501.15137

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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