Comment on 'Product states and Schmidt rank of mutually unbiased bases in dimension six'
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909583299051520 |
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| author | McNulty, Daniel Weigert, Stefan |
| author_facet | McNulty, Daniel Weigert, Stefan |
| contents | A lemma by Chen et al. [J. Phys. A: Math. Theor. 50, 475304 (2017)] provides a necessary condition on the structure of any complex Hadamard matrix in a set of four mutually unbiased bases in $\mathbb{C}^6$. The proof of the lemma is shown to contain a mistake, ultimately invalidating three theorems derived in later publications. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_13067 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Comment on 'Product states and Schmidt rank of mutually unbiased bases in dimension six' McNulty, Daniel Weigert, Stefan Quantum Physics A lemma by Chen et al. [J. Phys. A: Math. Theor. 50, 475304 (2017)] provides a necessary condition on the structure of any complex Hadamard matrix in a set of four mutually unbiased bases in $\mathbb{C}^6$. The proof of the lemma is shown to contain a mistake, ultimately invalidating three theorems derived in later publications. |
| title | Comment on 'Product states and Schmidt rank of mutually unbiased bases in dimension six' |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2504.13067 |