Quantum Algorithms for Matrix Operations Based on Unitary Transformations and Ancillary State Measurements
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866915458553217024 |
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| author | Liu, Yu-Hang Tao, Yuan-Hong Lan, jing-Run Fei, Shao-Ming |
| author_facet | Liu, Yu-Hang Tao, Yuan-Hong Lan, jing-Run Fei, Shao-Ming |
| contents | MQuantum 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_15137 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quantum Algorithms for Matrix Operations Based on Unitary Transformations and Ancillary State Measurements Liu, Yu-Hang Tao, Yuan-Hong Lan, jing-Run Fei, Shao-Ming Quantum Physics MQuantum 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. |
| title | Quantum Algorithms for Matrix Operations Based on Unitary Transformations and Ancillary State Measurements |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2501.15137 |