A lemma by Chen et al (2017 J. Phys. A: Math. Theor. 50 475304) provides a necessary condition on the structure of any complex Hadamard matrix in a set of four mutually unbiased bases in C 6 . The proof of the lemma is shown to contain a mistake, ultimately invalidating three theorems derived in later publications.
Comment on ‘Product states and Schmidt rank of mutually unbiased bases in dimension six’
Mc Nulty, Daniel
;
2025-01-01
Abstract
A lemma by Chen et al (2017 J. Phys. A: Math. Theor. 50 475304) provides a necessary condition on the structure of any complex Hadamard matrix in a set of four mutually unbiased bases in C 6 . The proof of the lemma is shown to contain a mistake, ultimately invalidating three theorems derived in later publications.File in questo prodotto:
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