论文标题
Pauli组件擦除量子通道
Pauli component erasing quantum channels
论文作者
论文摘要
量子系统的破坏性用量子通道描述。但是，对此类渠道的完全了解，尤其是在多粒子设置中，仍然是一项艰巨的任务。我们提出了在Pauli Strings的基础上保留或完全删除多Qubit系统组成部分的量子图的家族，我们称Pauli组件擦除了地图。对于相应的通道，可以证明保留的组件可以解释为有限的向量子空间，我们从中得出了几种属性并完成表征。此外，我们表明所获得的渠道家族形成了一个半群，并得出了其发电机。我们使用这种简单的结构来确定物理实现，并将获得的渠道家族与马尔可夫流程联系起来。
Decoherence of quantum systems is described by quantum channels. However, a complete understanding of such channels, especially in the multi-particle setting, is still an ongoing difficult task. We propose the family of quantum maps that preserve or completely erase the components of a multi-qubit system in the basis of Pauli strings, which we call Pauli component erasing maps. For the corresponding channels, it is shown that the preserved components can be interpreted as a finite vector subspace, from which we derive several properties and complete the characterization. Moreover, we show that the obtained family of channels forms a semigroup and derive its generators. We use this simple structure to determine physical implementations and connect the obtained family of channels with Markovian processes.
