On capacity of quantum channels generated by irreducible projective unitary representations of finite groups

TL;DR

This paper investigates the classical capacity of quantum channels created by irreducible projective unitary representations of finite groups, providing formulas under certain conditions and illustrating with examples.

Contribution

It introduces a method to compute the classical capacity of these specific quantum channels, expanding understanding of their information transmission capabilities.

Findings

Classical capacity formulas derived for channels from finite group representations

Conditions under which the capacity can be explicitly calculated

Examples demonstrating the application of the theoretical results

Abstract

We study mixed unitary quantum channels generated by irreducible projective unitary representations of finite groups. Under some assumptions on the probability distribution determining a mixture the classical capacity of the channel is found. Examples illustrating the techniques are given.