  Quantum deformed potentials arise naturally in quantum mechanical systems of
one bosonic coordinate coupled to $N_f$ Grassmann valued fermionic coordinates,
or to a topological Wess-Zumino term. These systems decompose into sectors with
a classical potential plus a quantum deformation. Using exact WKB, we derive
exact quantization condition and its median resummation. The solution of median
resummed form gives physical Borel-Ecalle resummed results, as we show
explicitly in quantum deformed double- and triple- well potentials. Despite the
fact that instantons are finite action, for generic quantum deformation, they
do not contribute to the energy spectrum at leading order in semi-classics. For
certain quantized quantum deformations, where the alignment of levels to all
order in perturbation theory occurs, instantons contribute to the spectrum. If
deformation parameter is not properly quantized, their effect disappears, but
higher order effects in semi-classics survive. In this sense, we classify
saddle contributions as fading and robust. Finally, for quantum deformed
triple-well potential, we demonstrate the P-NP relation, by computing period
integrals and Mellin transform.
