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

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

Quantum Information & Computation
Volume 25 (2025): Issue 6 (December 2025)
By: Yu-Hang Liu,  Yuan-Hong Tao,  Jing-Run Lan and  Shao-Ming Fei  
Open Access
|Mar 2026

Figures & Tables

Figure 1.

Quantum circuit diagram for adding one row of a matrix to another row.
Quantum circuit diagram for adding one row of a matrix to another row.

Figure 2.

The quantum circuit diagram for swapping two rows of a matrix.
The quantum circuit diagram for swapping two rows of a matrix.

Figure 3.

Quantum circuit for calculating matrix trace.
Quantum circuit for calculating matrix trace.

Figure 4.

Quantum Circuit for Matrix Transpose.
Quantum Circuit for Matrix Transpose.
DOI: https://doi.org/10.2478/qic-2025-0031 | Journal eISSN: 3106-0544 | Journal ISSN: 1533-7146
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Language: English
Page range: 568 - 585
Submitted on: Jul 17, 2025
|
Accepted on: Sep 10, 2025
|
Published on: Mar 9, 2026
Published by: Cerebration Science Publishing Co., Limited
In partnership with: Paradigm Publishing Services
Publication frequency: 1 issue per year
Keywords:
quantum algorithm,
quantum circuit,
matrix operation,
row addition,
row swapping,
quantum measurement
Related subjects:
Physics,
Quantum physics,
Mathematics,
Applied mathematics,
Computer sciences,
Computer sciences in the humanities,
Computer sciences,
Computer sciences in natural sciences

© 2026 Yu-Hang Liu, Yuan-Hong Tao, Jing-Run Lan, Shao-Ming Fei, published by Cerebration Science Publishing Co., Limited
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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