Two-parameter complex Hadamard matrices for N=6

TL;DR

This paper introduces a new two-parameter family of complex Hadamard matrices of order 6, which interpolates between known Fourier families and includes several notable subfamilies, expanding the understanding of matrix structures in quantum information.

Contribution

It presents a novel two-parameter, nonaffine family of complex Hadamard matrices of order 6, unifying and extending existing matrix families with new interpolations.

Findings

New two-parameter family of matrices interpolates between Fourier families

Contains Dita family, symmetric, and almost self-adjoint subfamilies

Expands the classification of complex Hadamard matrices of order 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.