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BCCB complex Hadamard matrices of order 9, and MUBs
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Nuclear Physics.
2016 (English)In: Linear Algebra and its Applications, ISSN 0024-3795, E-ISSN 1873-1856, Vol. 504, 309-324 p.Article in journal (Refereed) PublishedText
Abstract [en]

A new type of complex Hadamard matrices of order 9 are constructed. The studied matrices are symmetric, block circulant with circulant blocks (BCCB) and form an until now unknown non-reducible and non-affine two-parameter orbit. Several suborbits are identified, including a one parameter intersection with the Fourier orbit F-9((4)). The defect of this new type of Hadamard matrices is observed to vary, from a generic value 2 to the anomalous values 4 and 10 for some sub-orbits, and to 12 and 16 for some single matrices. The latter matrices are shown to be related to complete sets of MUBs in dimension 9.

Place, publisher, year, edition, pages
2016. Vol. 504, 309-324 p.
Keyword [en]
Complex Hadamard, 9 Dimensions, BCCB, Mutually unbiased
National Category
Other Mathematics
URN: urn:nbn:se:uu:diva-299543DOI: 10.1016/j.laa.2016.04.012ISI: 000377826100014OAI: oai:DiVA.org:uu-299543DiVA: diva2:949816
Available from: 2016-07-25 Created: 2016-07-22 Last updated: 2016-07-25Bibliographically approved

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Karlsson, Bengt R.
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