PPT $^2$猜想对所有Choi型映射成立
The PPT$^2$ conjecture holds for all Choi-type maps
摘要：
证明了PPT $^2$猜想对在对角酉群作用下协变的矩阵代数之间的线性映射成立。许多突出的例子，如Choi型映射、去极化映射、去相位映射、振幅阻尼映射及其混合，都属于这一类。我们的证明依赖于两两完全正矩阵的因子宽度的矩阵理论概念的推广，以及因子宽度2的情况下的完整表征。
英文摘要：
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.
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