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Introduction to Topological Quantum Matter & Quantum Computation (Hardcover)
Loot Price: R3,271
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Introduction to Topological Quantum Matter & Quantum Computation (Hardcover)
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What 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.
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