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Quantum Circuit Implementation of Two Matrix Product Operations and Elementary Column Transformations

Compared to traditional column transformation via matrix transposition and row transformations, this scheme reduces computation steps and quantum gate usage, lowering quantum computing energy costs.
arXiv (opens in a new tab)

Quantum Algorithms for Matrix Operations of Row Addition, Row Swapping, Trace Calculation and Transpose

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.
arXiv (opens in a new tab)
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