Probabilistic and Statistical Aspects of Quantum Theory
Probabilistic and Statistical Aspects of Quantum Theory
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DOI：
10.1007/978-88-7642-378-9
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发表时间：
2011-01-01
期刊：
影响因子：
--
通讯作者：
Holevo, Alexander
中科院分区：
文献类型：
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作者：
Holevo, Alexander
本书致力于量子力学基础的各个方面，其中概率和统计概念起着至关重要的作用。本书的主要部分涉及量子测量的定量统计理论，基于正算子值测量的概念。在过去的几年里，在量子光学、量子通信和高精度实验等新应用的刺激下，这一方向取得了实质性进展。问题的统计解释，量子对称性，理论的正则交换关系和高斯态，不确定性关系以及新的基本界限有关量子测量的准确性，在这本书中讨论了一个可访问的，但严格的方式。与第一版相比，新增了一个关于隐变量问题的增刊。评论和参考书目也得到了扩充和更新。
This book is devoted to aspects of the foundations of quantum mechanics in which probabilistic and statistical concepts play an essential role. The main part of the book concerns the quantitative statistical theory of quantum measurement, based on the notion of positive operator-valued measures. During the past years there has been substantial progress in this direction, stimulated to a great extent by new applications such as Quantum Optics, Quantum Communication and high-precision experiments. The questions of statistical interpretation, quantum symmetries, theory of canonical commutation relations and Gaussian states, uncertainty relations as well as new fundamental bounds concerning the accuracy of quantum measurements, are discussed in this book in an accessible yet rigorous way. Compared to the first edition, there is a new Supplement devoted to the hidden variable issue. Comments and the bibliography have also been extended and updated.