Indecomposability of entanglement witnesses constructed from any permutations

Xiao-Fei Qi, Jin-Chuan Hou

Let $n\ge 2$ and ${\Phi }_{n,t,\pi }:M_n(\mathbb{C})\to M_n(\mathbb{C})$ be a linear map defined by $Φ_{n,t,π}(A)=(n-t)\sum_{i=1}^nE_{ii}AE_{ii}+t\sum_{i=1}^nE_{i,π(i)}AE_{i,π(…