Quantum algorithms demonstrate efficient matrix operations, suggesting advancements in computational methods for various applications.
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.
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Liu et al. (2025) studied this question.
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