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Introduction to Topological Quantum Matter & Quantum Computation
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Table of Contents

Preliminaries: From Quantum Mechanics to Quantum Computation

Quatum Theory: Some Fundamentals

The Geometric Phase

Quantum Mechanics and Information Science

Section II: Topological Phases of Matter

Symmetry and Topology in Condensed Matter Physics

Topological Insulators and Superconductors

Interacting Topological Phases

Section III: Topological Quantum States: Design and Engineering

Theories of Topological Quantum Matter

Majorana Zero Modes in Solid State Heterostructures

Topological Phases in Cold Atom Systems

Section IV: Topological Quantum Computation

Elements of Quantum Information Theory

Introduction to Quantum Computation

Anyons and Topological Quantum Computation

Reviews

"In the last twenty years, several themes have come to the forefront of quantum condensed matter physics research through cross-fertilization with other disciplines, such as: topological matter and its emergent quasiparticles, quantum information theory, and quantum computation. This new book from Tudor Stanescu provides a much needed comprehensive introduction to this area of research. Clearly written, it takes the reader from the relevant concepts in quantum mechanics, to physical realizations in cold atom systems and heterostructures, going through the necessary concepts and multiple examples. Written from a condensed matter physics perspective, it will be a valuable reference and will serve as an advanced textbook at the graduate level in this important disciplinary area."
-Gabriel Kotliar, Rutgers University

"This book is a sort of travel guide through topological quantum computation...[it] is composed of four parts, preliminaries that introduce quantum mechanics, part two that deals with topological phases of matter and part three that deals with theories of topological quantum matter. The last part, part four, introduces topological quantum computation...This book is essential for anyone interested in the exciting new field of topological quantum computation or any one interested in how a possible quantum computer can be realised based on the principles of topological quantum matter."
-Andreas Wichert, Lisboa, in Zentralblatt Math, Springer

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