Two-parameter complex Hadamard matrices for N=6

Abstract

A new, two-parameter, nonaffine family of complex Hadamard matrices of order 6 is reported. It interpolates between the two Fourier families, and contains as one-parameter subfamilies the Dita family, a symmetric family and an almost (up to equivalence) self-adjoint family.

arXiv comment8 pages

References in corpus (3)

• Mubs and Hadamards of Order Six
• Constructing Mutually Unbiased Bases in Dimension Six
• Unbiased bases (Hadamards) for 6-level systems: Four ways from Fourier

Cited by in corpus (8)

• On mutually unbiased bases
• Mutually unbiased triplets from non-affine families of complex Hadamard matrices in dimension six
• $BCCB$ complex Hadamard matrices of order 9, and MUBs
• Families of complex Hadamard matrices
• Equivalence of Complex Hadamard Matrices
• Informing the structure of complex Hadamard matrix spaces using a flow
• Defect of a Kronecker product of unitary matrices
• On Generalized Hadamard Matrices and Difference Matrices: $Z_6$