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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2310.00918 |
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| _version_ | 1866910675638419456 |
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| author | Mori, Hitomi Mizuta, Kaoru Fujii, Keisuke |
| author_facet | Mori, Hitomi Mizuta, Kaoru Fujii, Keisuke |
| contents | Multivariable Quantum Signal Processing (M-QSP) [1] is expected to provide an efficient means to handle polynomial transformations of multiple variables simultaneously. However, we noticed several inconsistencies in the main Theorem 2.3 and its proof in Ref. [1]. Moreover, a counterexample for Conjecture 2.1 in Ref. [1], which is used as an assumption in the proof of Theorem 2.3, is presented at Quantum Information Processing 2023 [2], meaning the requirement of the conjecture should be included as a condition in Theorem 2.3. Here we note our observations and propose the revised necessary conditions of M-QSP. We also show that these necessary conditions cannot be sufficient conditions, and thus some additional condition on top of these revisions is essentially required for complete M-QSP Theorem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_00918 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Comment on "Multivariable quantum signal processing (M-QSP): prophecies of the two-headed oracle" Mori, Hitomi Mizuta, Kaoru Fujii, Keisuke Quantum Physics Multivariable Quantum Signal Processing (M-QSP) [1] is expected to provide an efficient means to handle polynomial transformations of multiple variables simultaneously. However, we noticed several inconsistencies in the main Theorem 2.3 and its proof in Ref. [1]. Moreover, a counterexample for Conjecture 2.1 in Ref. [1], which is used as an assumption in the proof of Theorem 2.3, is presented at Quantum Information Processing 2023 [2], meaning the requirement of the conjecture should be included as a condition in Theorem 2.3. Here we note our observations and propose the revised necessary conditions of M-QSP. We also show that these necessary conditions cannot be sufficient conditions, and thus some additional condition on top of these revisions is essentially required for complete M-QSP Theorem. |
| title | Comment on "Multivariable quantum signal processing (M-QSP): prophecies of the two-headed oracle" |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2310.00918 |