Hadamard matrices from mutually unbiased bases

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Authors

P. Diţă · National Institute of Materials Physics

Abstract

An analytical method for getting new complex Hadamard matrices by using mutually unbiased bases and a nonlinear doubling formula is provided. The method is illustrated with the n=4 case that leads to a rich family of eight-dimensional Hadamard matrices that depend on five arbitrary parameters whose modulus is equal to unity.

Topics & Keywords

graph theory and CDMA systems Advanced Photonic Communication Systems Photonic and Optical Devices

Publication Details

Published in: Journal of Mathematical Physics

Volume 51, Issue 7

DOI: 10.1063/1.3456082

Field-Weighted Citation Impact: 1.76

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Hadamard matrices from mutually unbiased bases

Authors

Abstract

Topics & Keywords

Publication Details