Quantum Information Meets Quantum Matter -- From Quantum Entanglement to Topological Phase in Many-Body Systems

TL;DR

This textbook introduces quantum information perspectives to condensed matter physics, covering topics from basic quantum information to advanced research areas like topological phases and tensor networks, aimed at graduate students.

Contribution

It provides a self-contained, accessible introduction bridging quantum information science and condensed matter physics, emphasizing recent research frontiers.

Findings

Explains quantum entanglement in many-body systems

Introduces topological phases of matter

Discusses tensor networks and symmetry-protected phases

Abstract

This is the draft version of a textbook, which aims to introduce the quantum information science viewpoints on condensed matter physics to graduate students in physics (or interested researchers). We keep the writing in a self-consistent way, requiring minimum background in quantum information science. Basic knowledge in undergraduate quantum physics and condensed matter physics is assumed. We start slowly from the basic ideas in quantum information theory, but wish to eventually bring the readers to the frontiers of research in condensed matter physics, including topological phases of matter, tensor networks, and symmetry-protected topological phases.