论文标题
探索开放量子动力学的限制II：从多数化的角度来看Gibbs保护地图
Exploring the Limits of Open Quantum Dynamics II: Gibbs-Preserving Maps from the Perspective of Majorization
论文作者
论文摘要
由连贯控制的开放量子系统与热水浴的连贯性开放量子系统中的可及性问题的动机，以及在热/矢量 - 大理工领域的最新进展，我们将经典的主要化从Unital量子通道推广到具有全等级的任意固定点$ D $的通道。这样的通道保留了一些吉布斯状态，因此在量子热力学的资源理论中起着重要作用，尤其是在热杂交中。 基于此，我们根据其拓扑和秩序属性进行了调查矩阵上的$ d $ majorization，例如存在独特的最大和最小元素等。而且，我们通过跟踪标准在Qubit Case中表征了$ d $ -D $ -D $ -D $ - 在超越两个方面时这是一个挑战性的任务。
Motivated by reachability questions in coherently controlled open quantum systems coupled to a thermal bath, as well as recent progress in the field of thermo-/vector-majorization we generalize classical majorization from unital quantum channels to channels with an arbitrary fixed point $D$ of full rank. Such channels preserve some Gibbs-state and thus play an important role in the resource theory of quantum thermodynamics, in particular in thermo-majorization. Based on this we investigate $D$-majorization on matrices in terms of its topological and order properties, such as existence of unique maximal and minimal elements, etc. Moreover we characterize $D$-majorization in the qubit case via the trace norm and elaborate on why this is a challenging task when going beyond two dimensions.
