论文标题
ppt $^2 $猜想均适用于所有choi型地图
The PPT$^2$ conjecture holds for all Choi-type maps
论文作者
论文摘要
我们证明，ppt $^2 $猜想适用于矩阵代数之间的线性图，这些矩阵代数是在对角线统一组的行动下是协变量的。许多显着示例，例如Choi-Type地图，去极化图，绘制地图，振幅阻尼图和其混合物，都位于此类中。我们的证明依赖于对成对的矩阵宽度的基质理论概念的概括，而对因子宽度二的情况下，完全表征了。
We prove that the PPT$^2$ conjecture holds for linear maps between matrix algebras which are covariant under the action of the diagonal unitary group. Many salient examples, like the Choi-type maps, depolarizing maps, dephasing maps, amplitude damping maps, and mixtures thereof, lie in this class. Our proof relies on a generalization of the matrix-theoretic notion of factor width for pairwise completely positive matrices, and a complete characterization in the case of factor width two.
