# Classical capacity of the generalized Pauli channels

## TL;DR

This paper derives bounds for the Holevo and classical capacities of generalized Pauli channels, identifying conditions for additivity and explicitly calculating capacities for specific channel types.

## Contribution

It provides new bounds and exact capacities for generalized Pauli channels, advancing understanding of their information transmission limits.

## Key findings

- Bounds for Holevo capacity are established.
- Classical capacity is explicitly calculated for certain channels.
- Additivity of Holevo capacity is linked to bounds coincidence.

## Abstract

We calculate and analyze the bounds of the Holevo capacity and classical capacity for the generalized Pauli channels. In particular, we obtain the lower and upper bounds of the Holevo capacity and show that if these bounds coincide, the Holevo capacity is weakly additive. We find the classical capacity for the Pauli channels and two-parameter generalized Pauli channels.