Quantum capacity analysis of multi-level amplitude damping channels

The set of Multi-level Amplitude Damping (MAD) quantum channels is introduced as a generalization the standard qubit Channel to systems finite dimension $d$. In special case $d=3$, by exploiting degradability, data-processing inequalities, and channel isomorphism, we compute associated private classical capacities for rather wide class maps, extending solvable models known so far. We proceed then evaluation entanglement assisted, classical, capacities.