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This book approaches condensed matter physics from the perspective
of quantum information science, focusing on systems with strong
interaction and unconventional order for which the usual condensed
matter methods like the Landau paradigm or the free fermion
framework break down. Concepts and tools in quantum information
science such as entanglement, quantum circuits, and the tensor
network representation prove to be highly useful in studying such
systems. The goal of this book is to introduce these techniques and
show how they lead to a new systematic way of characterizing and
classifying quantum phases in condensed matter systems. The first
part of the book introduces some basic concepts in quantum
information theory which are then used to study the central topic
explained in Part II: local Hamiltonians and their ground states.
Part III focuses on one of the major new phenomena in strongly
interacting systems, the topological order, and shows how it can
essentially be defined and characterized in terms of entanglement.
Part IV shows that the key entanglement structure of topological
states can be captured using the tensor network representation,
which provides a powerful tool in the classification of quantum
phases. Finally, Part V discusses the exciting prospect at the
intersection of quantum information and condensed matter physics -
the unification of information and matter. Intended for graduate
students and researchers in condensed matter physics, quantum
information science and related fields, the book is self-contained
and no prior knowledge of these topics is assumed.
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