Categories of quantum and classical channels
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- 作者：Bob Coecke ; Chris Heunen ; Aleks Kissinger
- 关键词：Abstract C* ; algebras ; Categorical quantum mechanics ; Completely positive maps ; Quantum channel
- 刊名：Quantum Information Processing
- 出版年：2016
- 出版时间：December 2016
- 年：2016
- 卷：15
- 期：12
- 页码：5179-5209
- 全文大小：
- 刊物类别：Physics and Astronomy
- 刊物主题：Quantum Information Technology, Spintronics; Quantum Computing; Data Structures, Cryptology and Information Theory; Quantum Physics; Mathematical Physics;
- 出版者：Springer US
- ISSN：1573-1332
- 卷排序：15
文摘
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.