| 书目名称 | Quantum f-Divergences in von Neumann Algebras |
| 副标题 | Reversibility of Qua |
| 编辑 | Fumio Hiai |
| 视频video | |
| 概述 | Presents a general and rigorous framework of quantum information based on von Neumann algebras.Makes a comprehensive study of different types of quantum divergences.Updates Petz‘ previous work on reve |
| 丛书名称 | Mathematical Physics Studies |
| 图书封面 |  |
| 描述 | Relative entropy has played a significant role in various fields of mathematics and physics as the quantum version of the Kullback–Leibler divergence in classical theory. Many variations of relative entropy have been introduced so far with applications to quantum information and related subjects. Typical examples are three different classes, called the standard, the maximal, and the measured .f.-divergences, all of which are defined in terms of (operator) convex functions .f. on (0,∞) and have respective mathematical and information theoretical backgrounds. The α-Rényi relative entropy and its new version called the sandwiched α-Rényi relative entropy have also been useful in recent developments of quantum information..In the first half of this monograph, the different types of quantum .f.-divergences and the Rényi-type divergences mentioned above in the general von Neumann algebra setting are presented for study. While quantum information has been developing mostly in the finite-dimensional setting, it is widely believed that von Neumann algebras provide the most suitable framework in studying quantum information and related subjects. Thus, the advance of quantum divergences in vo |
| 出版日期 | Book 2021 |
| 关键词 | Quantum f-Divergences; von Neumann Algebras; Reversibility; Quantum Operations; Functional Analysis |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-981-33-4199-9 |
| isbn_softcover | 978-981-33-4201-9 |
| isbn_ebook | 978-981-33-4199-9Series ISSN 0921-3767 Series E-ISSN 2352-3905 |
| issn_series | 0921-3767 |
| copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapor |
发表于 2025-3-21 18:24:18
