A Group Theoretic Approach to Quantum Information

Book Details

• Author: Masahito Hayashi

• Brand: Springer

• Edition: 1st ed. 2017

• Binding: Hardcover

• Number of Pages: 228

• Release Date: 09-11-2016

• ISBN: 9783319452395

• Package Dimensions: 9.4 x 6.5 x 0.8 inches

About The Book

This unique book delves into quantum information from the perspective of group symmetry, a viewpoint that is typically overlooked in other quantum information textbooks. It systematically addresses how group symmetry can be applied to quantum information processing, simplifying many complex calculations in quantum entanglement and information processes.

Key features include:

• Introduction to group symmetry and its role in quantum systems, offering a new framework for understanding quantum information processing.

• In-depth treatment of quantum entanglement, with quantification methods simplified by group symmetry, making traditionally complex calculations more accessible.

• Exploration of optimal quantum information processes like quantum state estimation, quantum state cloning, and quantum channel estimation, made simpler through group symmetry without requiring asymptotic assumptions.

• A detailed section on quantum error correcting codes using the symmetric structure of Weyl-Heisenberg groups.

• Focus on quantum universal information protocols, including a quantum version of Csiszar-Korner's universal coding theory.

This book is a must-have for researchers and graduate students interested in quantum information, offering a novel and systematic approach to understanding group symmetry in quantum theory.