Introduction to topological quantum matter & quantum computation / Tudor D. Stanescu.
Material type: TextPublication details: Boca Raton : CRC Press, ©2017.Description: xiv, 380 pages : illustrations ; 25 cmISBN:- 9781482245936 (hardback ; alk. paper)
- 530.1201514 23 St785
Item type | Current library | Call number | Status | Date due | Barcode | Item holds | |
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Books | ISI Library, Kolkata | 530.1201514 St785 (Browse shelf(Opens below)) | Available | 138068 |
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530.12015122 C669 From spinors to quantum mechanics / | 530.1201513 Symplectic fibrations and multiplicity diagrams | 530.1201514 G725 Path integrals for pedestrians / | 530.1201514 St785 Introduction to topological quantum matter & quantum computation / | 530.120151539 B111 Path integrals and Hamiltonians : | 530.120151542 V948 Measure theoretical approach to quantum stochastic processes / | 530.120151542 W814 Quantum measurement and control / |
Includes bibliographical references and index.
1. Quantum theory: some fundamentals --
2. The geometric phase --
3. Quantum mechanics and information science --
4. Symmetry and topology in condensed matter physics --
5. Topological insulators and superconductors --
6. Interacting topological phases --
7. Theories of topological quantum matter --
8. Majorana zero modes in solid state heterostructures --
9. Topological phases in cold atom systems --
10. Elements of quantum information theory --
11. Introduction to quantum computation --
12. Anyons and topological quantum computation.
This book 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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