A Family of Completely PPT Maps

Kennett L. Dela Rosa, Iana Angela C. Fajardo, Cedie B. Reyes

Given $\alpha \in \mathbb{R}$ and $B_1,\dots ,B_q\in M_{m,n}$, consider the map \[Φ^{\pm}_{α,\mathfrak{B}}(X)=α\mbox{tr}(X) I_m\pm \sum_{s=1}^qB_sXB_s^*\ \mbox{for all}\ X\in M_n.\] In t…