I am currently working on optimizing an objective function which contains quantum relative entropy (sometimes referred to matrix relative entropy) and is described in https://en.wikipedia.org/wiki/Quantum_relative_entropy.
The above may be written in MATLAB code as
trace(rho*logm(rho) - rho*logm(zrho)) where
zrho are density matrices.
Quantum relative entropy is known to be convex, but it seems that CVX is currently unable to support such a function. The question I would like to pose is how would one implement quantum relative entropy in CVX?