Generalized qubit portrait of the qutrit state density matrix

TL;DR

This paper introduces a generalized qubit portrait method to derive new inequalities for qutrit state density matrices and tomographic probabilities, applicable to complex multipartite qudit systems.

Contribution

It extends the qubit portrait approach to qutrits and arbitrary nonnegative hermitian matrices, providing new entropic inequalities for quantum state analysis.

Findings

Derived new inequalities for qutrit density matrices

Generalized the qubit portrait method for multipartite qudit states

Proposed a versatile approach for entropic inequality derivation

Abstract

New inequalities for tomographic probability distributions and density matrices of qutrit states are obtained by means of generalization of qubit portrait method. The approach based on the qudit portrait method to get new entropic inequalities is proposed. It can be applied to the case of arbutrary nonnegative hermitian matrices including the density matrices of multipartite qudit states.