论文标题
扭曲的卷积量子信息通道,单参数半群及其发电机
Twisted convolution quantum information channels, one-parameter semigroups and their generators
论文作者
论文摘要
使用Boson Fock空间γ(C_N)中N模式状态的量子特征函数的工具,我们构造了量子信息通道的半群。这导致了此类渠道的一类特殊类别的半参数。这些半群是混凝土的,但它们的发电机具有无限的运算符系数。这些单参数半群也是量子动力学半群,发电机的形式涉及其他特征,这些特征不会以标准GKSL形式出现。包括对这些发电机形式的启发式讨论。在进行分析之后,自然出现了许多开放问题。
Using the tool of quantum characteristic functions of n-mode states in the boson Fock space Γ(C_n) we construct a semigroup of quantum information channels. This leads to a special class of one-parameter semigroups of such channels. These semigroups are concrete but their generators have unbounded operator coefficients. These one-parameter semigroups are also quantum dynamical semigroups and the form of the generators involve additional features which do not appear in the standard GKSL form. A heuristic discussion of the form of these generators is included. In the wake of this analysis many open problems arise naturally.