Classification of quantum channels of information transfer

TL;DR

This paper introduces a classification scheme for quantum channels based on symmetry group representations and density matrix spectra, revealing geometric and spectral properties related to state disentanglement.

Contribution

It presents a novel classification method for quantum channels using symmetry groups and spectral analysis, highlighting geometric structures and disentanglement conditions.

Findings

Pure disentangled states form a two-dimensional surface

Disentanglement is linked to eigenvalue degeneracy of the density matrix

Classification based on symmetry and spectral properties

Abstract

Classification of states of quantum channels of information transfer is built on the basis of unreducible representations of qubit state space group of symmetry and properties of density matrix spectrum. It is shown that pure disentangled states form two-dimensional surface, and the reason of state disentanglement is in degeneration of non-zero density matrix eigenvalues