Titlebook: A Group Theoretic Approach to Quantum Information; Masahito Hayashi Textbook 2017 Springer International Publishing AG 2017 Application of

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Venules

Textbook 2017is 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 disc

Ornament

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Representation of One Endomorphism4], the reader who has already read it can skip this part. However, since Sects. . and . contain parts that do not appear in the above book, the reader need to read such a part. Important notations used in this book are introduced in this chapter. Chapter . of the other book . [43] can be recommended as the detail of this contents.

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https://doi.org/10.1007/978-1-4613-0041-0we define a quantum channel as a map from an input state to an output state, and this definition brings the mathematically completed framework to satisfy the above purpose. We also discuss information quantities of the quantum system and its relation with quantum channel.

Insufficient

Representation of One Endomorphismunexpected way. Although many entanglement measures are proposed, it is quite difficult to calculate them. A larger part of resolved cases are essentially based on the group symmetry because many entanglement measures are based on a optimization and employing the group symmetry can reduce the freedom of the optimization.

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978-3-319-83248-7Springer International Publishing AG 2017