Real Entries of Complex Hadamard Matrices and Mutually Unbiased Bases in Dimension Six

Mengfan Liang, Mengyao Hu, Yize Sun +1

We investigate the number of real entries of an $n\times n$ complex Hadamard matrix (CHM). We analytically derive the numbers when $n=2,3,4,6$. In particular, the number can be any…