McNulty, Daniel and Weigert, Stefan orcid.org/0000-0002-6647-3252 (2025) Comment on 'Product states and Schmidt rank of mutually unbiased bases in dimension six'. Journal of Physics A: Mathematical and Theoretical. 168001. ISSN 1751-8113
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 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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Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2025 IOP Publishing Ltd. This is an author-produced version of the published paper. Uploaded in accordance with the University’s Research Publications and Open Access policy. |
Dates: |
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Institution: | The University of York |
Academic Units: | The University of York > Faculty of Sciences (York) > Mathematics (York) |
Depositing User: | Pure (York) |
Date Deposited: | 14 Apr 2025 13:20 |
Last Modified: | 12 May 2025 23:08 |
Published Version: | https://doi.org/10.1088/1751-8121/adcb07 |
Status: | Published |
Refereed: | Yes |
Identification Number: | 10.1088/1751-8121/adcb07 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:225451 |
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