Dissipative generators, divisible dynamical maps and Kadison-Schwarz inequality

On characterizations of bistochastic Kadison-Schwarz operators on $M_2(\mathbb{C})$

In this paper we describe bistochastic Kadison-Schawrz operators acting on $M_2(\mathbb{C})$. Such a description allows us to find positive, but not Kadison-Schwarz operators. Moreover, by means of that characterization we construct Kadison-Schawrz operators, which are not completely positive.

On description of bistochastic Kadison-Schwarz operators on M_2(C)

In this paper we describe bistochastic Kadison-Schawrz operators on $M_2(\mathbb{C})$. Such a description allows us to find positive, but not Kadison-Schwarz operators. Moreover, by means of that characterization we construct Kadison-Schawrz operators, which are not completely positive.

单位 Kadison-Schwarz 映射

Unital Kadison-Schwarz Maps

本文研究 $M_2(\mathbb{C})$ 上的单位 Kadison-Schwarz 映射，推导其成立条件并给出非平凡例子，从而扩展了可分类正映射的范围，为纠缠检测提供理论工具。

$M_3$上幺正正线性映射的Kadison-Schwarz性质的充分条件

Sufficient conditions for the Kadison--Schwarz property of unital positive maps on $M_3$

本文研究了$M_3$上幺正正线性映射的Kadison-Schwarz性质，通过Bloch-Gell-Mann表示推导出显式分析充分条件，利用反称结构常数抵消机制，给出基于Bloch参数的结构准则。

具有对称性的Schwarz映射

Schwarz maps with symmetry

本文研究了具有对称性的Schwarz映射的结构和性质，通过分类U(n)等变映射并验证PPT²猜想，揭示了群对称性对非完全正映射的影响。