Some inequalities for quantum Tsallis entropy related to the strong subadditivity

Dénes Petz, Dániel Virosztek

In this paper we investigate the inequality $S_q({\rho }_{123})+S_q({\rho }_2)\le S_q({\rho }_{12})+S_q({\rho }_{23})(\ast )$ where ${\rho }_{123}$ is a state on a finite dimensional Hilbert space $\mathcal{H}…