A Group Theoretic Approach to Quantum Information

Focusing on group symmetry, this book uniquely explores quantum information processing, filling a gap in existing literature. It begins with the mathematical foundations before delving into quantum entanglement, where group symmetry simplifies complex calculations of entanglement measures. The text addresses optimal quantum information processes without the need for asymptotic settings and systematically examines quantum error correcting codes using Weyl-Heisenberg groups. Additionally, it discusses quantum universal information protocols related to Csiszar-Korner's coding theory, with supplementary mathematical insights provided in a companion volume.