| 期刊全稱 | A Group Theoretic Approach to Quantum Information | | 影響因子2023 | Masahito Hayashi | | 視頻video | http://file.papertrans.cn/141/140913/140913.mp4 | | 發(fā)行地址 | Provides a bridge between quantum information theory and group representation theory.Covers recent progress with mathematical details.Written by an expert in the field.Includes supplementary material: | | 圖書封面 |  | | 影響因子 | This book is the first one addressing quantum information from the viewpoint of group symmetry. Quantum systems have a group symmetrical structure. This structure enables to handle systematically quantum information processing. However, there is no other textbook focusing on group symmetry for quantum information although there exist many textbooks for group representation. After the mathematical preparation of quantum information, this book discusses quantum entanglement and its quantification by using group symmetry. Group symmetry drastically simplifies the calculation of several entanglement measures although their calculations are usually very difficult to handle. This book treats optimal information processes including quantum state estimation, quantum state cloning, estimation of group action and quantum channel etc. Usually it is very difficult to derive the optimal quantum information processes without asymptotic setting of these topics. However, group symmetry allows to derive these optimal solutions without assuming the asymptotic setting. Next, this book addresses the quantum error correcting code with the symmetric structure of Weyl-Heisenberg groups. This structure le | | Pindex | Textbook 2017 |
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