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Systems of mutually unbiased Hadamard matrices containing real and complex matrices

Matolcsi, Máté and Ruzsa, Z. Imre and Weiner, Mihály (2013) Systems of mutually unbiased Hadamard matrices containing real and complex matrices. AUSTRALASIAN JOURNAL OF COMBINATORICS, 55. pp. 35-47. ISSN 1034-4942

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Abstract

We use combinatorial and Fourier analytic arguments to prove various non-existence results on systems of real and com- plex unbiased Hadamard matrices. In particular, we prove that a complete system of complex mutually unbiased Hadamard ma- trices (MUHs) in any dimension cannot contain more than one real Hadamard matrix. We also give new proofs of several known structural results in low dimensions.

Item Type: Article
Subjects: Q Science / természettudomány > QA Mathematics / matematika
SWORD Depositor: MTMT SWORD
Depositing User: MTMT SWORD
Date Deposited: 09 Dec 2013 13:42
Last Modified: 09 Dec 2013 14:36
URI: http://real.mtak.hu/id/eprint/7884

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