Matrix manipulations via unitary transformations and ancilla-state measurements
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866910706211749888 |
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| author | Zenchuk, Alexander I. Qi, Wentao Kumar, Asutosh Wu, Junde |
| author_facet | Zenchuk, Alexander I. Qi, Wentao Kumar, Asutosh Wu, Junde |
| contents | We propose protocols for calculating inner product, matrix addition and matrix multiplication based on multiqubit Toffoli-type and the simplest one-qubit operations and employ ancilla measurements to remove all garbage of calculations. The depth (runtime) of the addition protocol is $O(1)$ and that of other protocols logarithmically increases with the dimensionality of the considered matrices. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_11329 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Matrix manipulations via unitary transformations and ancilla-state measurements Zenchuk, Alexander I. Qi, Wentao Kumar, Asutosh Wu, Junde Quantum Physics We propose protocols for calculating inner product, matrix addition and matrix multiplication based on multiqubit Toffoli-type and the simplest one-qubit operations and employ ancilla measurements to remove all garbage of calculations. The depth (runtime) of the addition protocol is $O(1)$ and that of other protocols logarithmically increases with the dimensionality of the considered matrices. |
| title | Matrix manipulations via unitary transformations and ancilla-state measurements |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2311.11329 |