I've been looking into the structure of the Bloch sphere for qudits, and I am wondering if there is a transformation matrix (or rotation matrix) formula corresponding to high-dimensional quantum states like qutrits.
I prefer to write the density matrix in the basis consisting of Weyl operators, and I found that the corresponding 8-dimensional transformation matrix is in a way close to the qubit case. However, it is much more complicated to find a parametric transformation matrix to include all or most unitary operations in state space. Is there a possible solution to this question?
