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EbookBell Team
5.0
20 reviewsWhat
is "topological" about topological quantum states? How many types of
topological quantum phases are there? What is a zero-energy Majorana
mode, how can it be realized in a solid state system, and how can it be
used as a platform for topological quantum computation? What is quantum
computation and what makes it different from classical computation?
Addressing these and other related questions, Introduction to Topological Quantum Matter & Quantum Computation
provides an introduction to and a synthesis of a fascinating and
rapidly expanding research field emerging at the crossroads of condensed
matter physics, mathematics, and computer science. Providing the big
picture, this book is ideal for graduate students and researchers
entering this field as it allows for the fruitful transfer of paradigms
and ideas amongst different areas, and includes many specific examples
to help the reader understand abstract and sometimes challenging
concepts. It explores the topological quantum world beyond the
well-known topological insulators and superconductors and emphasizes the
deep connections with quantum computation. It addresses key principles
behind the classification of topological quantum phases and relevant
mathematical concepts and discusses models of interacting and
noninteracting topological systems, such as the torric code and the
p-wave superconductor. The book also covers the basic properties of
anyons, and aspects concerning the realization of topological states in
solid state structures and cold atom systems.
Quantum
computation is also presented using a broad perspective, which includes
fundamental aspects of quantum mechanics, such as Bell's theorem, basic
concepts in the theory of computation, such as computational models and
computational complexity, examples of quantum algorithms, and elements
of classical and quantum information theory.
