If you have Mosek available, use it as solver. Otherwise, follow the advice at CVXQUAD: How to use CVXQUAD's Pade Approximant instead of CVX's unreliable Successive Approximation for GP mode, log, exp, entr, rel_entr, kl_div, log_det, det_rootn, exponential cone. CVXQUAD's Quantum (Matrix) Entropy & Matrix Log related functions .
It may also be the case that there is bad numerical scaling of the input data in your problem. if so, change the units so that all on-zero input data is within a small number of orders of magnitude of 1.