A Group Theoretic Approach to Quantum Information Ebook Tooltip

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  • Engels
  • E-book
  • 9783319452418
  • 31 oktober 2016
  • Adobe ePub
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Samenvatting

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 leads to understand the quantum error correcting code systematically. Finally, this book focuses on the quantum universal information protocols by using the group SU(d). This topic can be regarded as a quantum version of the Csiszar-Korner's universal coding theory with the type method. The required mathematical knowledge about group representation is summarized in the companion book, Group Representation for Quantum Theory.

Productspecificaties

Inhoud

Taal
en
Bindwijze
E-book
Oorspronkelijke releasedatum
31 oktober 2016
Ebook Formaat
Adobe ePub
Illustraties
Nee

Betrokkenen

Hoofdauteur
Masahito Hayashi
Hoofduitgeverij
Springer

Vertaling

Originele titel
Group Representation Approach to Quantum Information

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Verpakking hoogte
20 mm

EAN

EAN
9783319452418
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