Kraus operators and symmetric groups

TL;DR

This paper explores a class of Kraus operators derived from symmetric group representations, analyzing their orbits, limit sets, and special cases within open quantum systems.

Contribution

It introduces a novel class of Kraus operators based on symmetric groups and studies their mathematical properties and behaviors.

Findings

Characterization of orbits and limit sets of the operators

Identification of degenerate cases within the class

Insights into the structure of quantum operations related to symmetric groups

Abstract

In the contest of open quantum systems, we study a class of Kraus operators whose definition relies on the defining representation of the symmetric groups. We analyze the induced orbits as well as the limit set and the degenerate cases.