Quantum capacity analysis of multi-level amplitude damping channels

TL;DR

This paper introduces multi-level amplitude damping channels for finite-dimensional quantum systems and computes their quantum and private classical capacities, extending known solvable models using advanced quantum information techniques.

Contribution

It generalizes the amplitude damping channel to multi-level systems and derives capacity formulas for a broad class of these channels, including entanglement-assisted capacities.

Findings

Computed quantum and private classical capacities for d=3 channels

Extended solvable models in quantum capacity analysis

Utilized degradability and channel isomorphism techniques

Abstract

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