Engineering classical capacity of generalized Pauli channels with admissible memory kernels

TL;DR

This paper investigates how engineering memory kernels in generalized Pauli channels can enhance classical capacity beyond Markovian limits, with specific examples for qubits and qutrits, highlighting differences from time-local approaches.

Contribution

It demonstrates that suitable memory kernel parameters can increase classical capacity in generalized Pauli channels, unlike time-local master equations.

Findings

Memory kernel evolution can surpass Markovian capacity limits.

Enhanced capacity observed in qubit and qutrit channels.

Time-local equations do not show similar capacity improvements.

Abstract

We analyze the classical capacity of the generalized Pauli channels generated via the memory kernel master equations. For suitable engineering of the kernel parameters, the evolution with non-local noise effects can produce dynamical maps with higher capacity than the purely Markovian evolution. We provide instructive examples for qubit and qutrit evolution. Interestingly, similar behavior is not observed when analyzing the time-local master equations.