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

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.

Comment on arXiv:1610.04875. Accepted Author Manuscript, identical to published version

References in corpus (2)

• Mutually unbiased triplets from non-affine families of complex Hadamard matrices in dimension six
• An improvement on the Delsarte-type LP-bound with application to MUBs

Cited by in corpus (1)

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