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

doi:10.2478/qic-2025-0031

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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

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.

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Articles in this issue

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:

Related subjects:

Physics,

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.

Volume 25 (2025): Issue 6 (December 2025)