Categories of quantum and classical channels
Categories of quantum and classical channels
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DOI：
10.1007/s11128-014-0837-4
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发表时间：
2016-12-01
影响因子：
2.5
通讯作者：
Kissinger, Aleks
中科院分区：
文献类型：
--
作者：
Coecke, Bob;Heunen, Chris;Kissinger, Aleks
我们引入了一个构造，将纯状态空间和算子的范畴转化为可观察代数和超算子的范畴。例如，它将有限维希尔伯特空间的范畴转化为有限维C*-代数和完全正映射的范畴。特别是，新类别包含量子通道和经典通道，提供了制备和测量的优雅抽象概念。我们还考虑了非标准模型，可以用来研究代数量子信息理论中的哪些概念在操作上是合理的。
We introduce a construction that turns a category of pure state spaces and operators into a category of observable algebras and superoperators. For example, it turns the category of finite-dimensional Hilbert spaces into the category of finite-dimensional C*-algebras and completely positive maps. In particular, the new category contains both quantum and classical channels, providing elegant abstract notions of preparation and measurement. We also consider nonstandard models that can be used to investigate which notions from algebraic quantum information theory are operationally justifiable.