Comment on 'Product states and Schmidt rank of mutually unbiased bases in dimension six'

• URL: http://arxiv.org/abs/2504.13067v1
• Date: Thu, 17 Apr 2025 16:25:55 GMT
• Title: Comment on 'Product states and Schmidt rank of mutually unbiased bases in dimension six'
• Abstract summary: lemma provides a necessary condition on the structure of any complex Hadamard matrix in a set of four mutually unbiased bases in $mathbbC6$.<n>The proof of the lemma is shown to contain a mistake, ultimately invalidating three theorems derived in later publications.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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.

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