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Quantum Algorithms for Matrix Operations of Row Addition, Row Swapping, Trace Calculation and Transpose
Yu-Hang Liu, Yuan-hong Tao, jing-Run Lan, Shao-Ming Fei·January 25, 2025·DOI: 10.2478/qic-2025-0031
Physics
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Abstract
Abstract Quantum 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.