Mutually unbiased bases containing a complex Hadamard matrix of Schmidt rank three
Mutually unbiased bases containing a complex Hadamard matrix of Schmidt rank three
Constructing four six-dimensional mutually unbiased bases (MUBs) is an open problem in quantum physics and measurement. We investigate the existence of four MUBs including the identity, and a complex Hadamard matrix (CHM) of Schmidt rank three. The CHM is equivalent to a controlled unitary operation on the qubit-qutrit system via …