Examining the validity of Schatten-$p$-norm-based functionals as coherence measures

Xiao-Dan Cui, C. L. Liu, D. M. Tong

It has been asked by different authors whether the two classes of Schatten-$p$-norm-based functionals $C_p(\rho )={\min }_{\sigma \in \mathcal{I}}||\rho -\sigma |{|}_p$ and ${\tilde{C}}_p(\rho )=\Vert \rho -\Delta \rho {\Vert }_p$ w…