Weighted information and weighted entropic inequalities for qutrit and ququart states

TL;DR

This paper reviews weighted quantum entropy and extends the subadditivity inequality to indivisible qudit systems, specifically qutrits, exploring its implications for nonlinear quantum channels.

Contribution

It introduces a new weighted entropy inequality for qutrit states, expanding the understanding of quantum information measures for indivisible systems.

Findings

Extended subadditivity inequality to qutrits with various weights

Analyzed the role of weighted entropy in nonlinear quantum channels

Discussed implications for noncomposite quantum systems

Abstract

The notion of weighted quantum entropy is reviewed and considered for bipartite and noncomposite quantum systems. The known for the weighted entropy information inequality (subadditivity condition) is extended to the case of indivisible qudit system on example of qutrit. This new inequality for qutrit density matrix is discussed for different cases of weights and states. The role of weighted entropy is discussed in connection with studies of nonlinear quantum channels.