BCCB complex Hadamard matrices of order 9, and MUBs
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
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.
Complex Hadamard, 9 Dimensions, BCCB, Mutually unbiased
IdentifiersURN: urn:nbn:se:uu:diva-299543DOI: 10.1016/j.laa.2016.04.012ISI: 000377826100014OAI: oai:DiVA.org:uu-299543DiVA: diva2:949816