I want to know why this is the result of CVX

That is the output os CVX’s Successive Approximation method. Dodn’t worry about anything other than the final status reported by CVX.

That said, for this problem, you are better off using Mosek as solver, or if that is not available to you, following the advice in 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