Quantum Information Meets Quantum Matter: From Quantum Entanglement to Topological Phases of Many-Body Systems (Hardcover, 2019)

Part I Basic Concepts in Quantum Information Theory 1 Correlation and Entanglement. 2 Evolution of Quantum Systems. 3 Quantum Error-Correcting Codes. Part II Local Hamiltonians, Ground States and Many-body Entanglement. 4 Local Hamiltonians and Ground States. 5 Gapped Quantum Systems and Entanglement Area Law. Part III Topological order and Long-Range Entanglement. 6 Introduction to Topological order. 7 Local Transformations and Long-Range Entanglement. Part IV Gapped Topological Phases and Tensor Network. 8 Matrix Product State and 1D Gapped Phase. 9 Tensor Product States and 2D Gapped Phases. 10 Symmetry Protected Topological Phases. Part V Outlook. 11 A Unification of Information and Matter.