No signaling and strong subadditivity condition for tomographic q-entropy of single qudit states

TL;DR

This paper demonstrates that single qudit state tomograms exhibit no signaling and satisfy strong subadditivity for Tsallis q-entropy, introducing new entropic inequalities and exploring correlations in quantum systems.

Contribution

It establishes the no signaling property for qudit tomograms and proves strong subadditivity for Tsallis q-entropy in these systems, along with deriving new entropic inequalities.

Findings

Tomograms of single qudit states have no signaling property.

Spin tomographic probabilities satisfy strong subadditivity for Tsallis q-entropy.

New entropic inequalities for q-entropy are derived for specific qudit spins.

Abstract

The single qudit state tomograms are shown to have the no signaling property. The known and new entropic and information inequalities for Shannon, von Neumann and q-entropies of the composite and noncomposite systems characterizing correlations in these systems are discussed. The spin tomographic probability distributions determining the single qudit states are demonstrated to satisfy the strong subadditivity condition for Tsallis q-entropy. Examples of the new entropic inequalities for q-entropy are considered for qudits with j = 5=2, j = 7=2.