# Two definitions of the Gell-Mann channels - a comparative analysis

## TL;DR

This paper compares two different definitions of Gell-Mann channels, analyzing their equivalence across dimensions, and derives their generators, revealing conditions under which they describe the same quantum dynamics.

## Contribution

It provides a detailed comparison of two definitions of Gell-Mann channels, including conditions for their equivalence and explicit derivation of their generators.

## Key findings

- Definitions coincide for qubits and qutrits
- Existence of constraints for equivalence in higher dimensions
- Derived GKSL generators for certain Gell-Mann channels

## Abstract

Our goal is to compare two unequivalent definitions of the Gell-Mann channels. It turns out that both definitions coincide for qubits and qutrits. In higher dimensions, there exist some constraints under which the channels describe the same dynamics. Finally, we find the GKSL time-local generators for a class of the Gell-Mann channels.