HELP!Optimal value (cvx_optval): NaN

Yes. That is a concave expression which CVX will accept, if used in accordance with its DCP rules.

However, to get CVXUQAD’s Pade appproximant to be invoked for this, it must be refromulated per 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