On quantum channels
On quantum channels
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在量子通道上
DOI：
10.1142/9789813238411_0017
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发表时间：
2002
期刊：
影响因子：
--
通讯作者：
H. Verschelde
中科院分区：
文献类型：
--
作者：
F. Verstraete;H. Verschelde
量子信息理论中最具挑战性的开放问题之一是澄清和量化当部分纠缠态通过量子信道发送时纠缠的行为。在量子信道或完全正映射（CP映射）的描述中，最重要的是与之相关联的对偶态。本文是关于量子信道的一些著名的、不太为人所知的和新的结果的集合，以统一的方式提出。我们将展示这种对偶状态如何诱导CP映射凸集的极值映射的良好特征，以及在具有张量积结构的希尔伯特空间上定义的状态的规范形式如何导致量子通道的有趣参数化。
One of the most challenging open problems in quantum information theory is to clarify and quantify how entanglement behaves when part of an entangled state is sent through a quantum channel. Of central importance in the description of a quantum channel or completely positive map (CP-map) is the dual state associated to it. The present paper is a collection of well-known, less known and new results on quantum channels, presented in a unified way. We will show how this dual state induces nice characterizations of the extremal maps of the convex set of CP-maps, and how normal forms for states defined on a Hilbert space with a tensor product structure lead to interesting parameterizations of quantum channels.