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Thursday, May 21, 2020 | History

2 edition of Introduction to topological quantum computation found in the catalog.

Introduction to topological quantum computation

Jiannis K. Pachos

Introduction to topological quantum computation

by Jiannis K. Pachos

  • 71 Want to read
  • 29 Currently reading

Published by Cambridge University Press in Cambridge .
Written in English

    Subjects:
  • Quantum theory,
  • SCIENCE / Quantum Theory,
  • Data processing,
  • Topology

  • Edition Notes

    Includes bibliographical references and index.

    StatementJiannis K. Pachos, University of Leeds, UK
    Classifications
    LC ClassificationsQC174.17.D37 P33 2012
    The Physical Object
    Paginationpages cm
    ID Numbers
    Open LibraryOL25290208M
    ISBN 109781107005044
    LC Control Number2012011715

    This book presents a self-consistent review of quantum computation with topological quantum codes. The book covers everything required to understand topological fault-tolerant quantum computation, ran. Introduction to Topological Quantum Computation: Author(s) Pachos, Jiannis K: Publication Cambridge: Cambridge University Press, - p. Subject category General Theoretical Physics: Abstract Ideal for graduate students and researchers from various sub-disciplines, this book provides an excellent introduction to topological quantum Cited by:

    This pedagogical introduction to topological quantum computation includes the following parts. First we provide an introduction to anyons and topological models. In particular we consider the properties of anyons and their relation to topological quantum computation. Then we present the quantum Cited by: 5. Then I keep track of up-to-date results on topological quantum computing, quantum information theory, and other related subjects. Are Quantum Computers more Powerful than Classical Computers? In these notes, we will learn that quantum computers di er from classical computation in several respects when it comes to the processing of the information.

    A topological quantum computer is a theoretical quantum computer that employs two-dimensional quasiparticles called anyons, whose world lines pass around one another to form braids in a three-dimensional spacetime (i.e., one temporal plus two spatial dimensions). These braids form the logic gates that make up the computer. The advantage of a quantum computer based on quantum braids over . The Circuit Model of Computation 6 A Linear Algebra Formulation of the Circuit Model 8 Reversible Computation 12 A Preview of Quantum Physics 15 Quantum Physics and Computation 19 2 LINEAR ALGEBRA AND THE DIRAC NOTATION 21 The Dirac Notation and Hilbert Spaces 21 Dual Vectors 23 Operators 27 The Spectral File Size: 2MB.


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Introduction to topological quantum computation by Jiannis K. Pachos Download PDF EPUB FB2

In this book, a variety of different topics are presented together for the first time, forming a thorough introduction to topological quantum computation.

Keeping high-level and technical language to a minimum, the author adopts a pedagogical style, making the book accessible to Introduction to topological quantum computation book and researchers from a variety of by: 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 Cited by: 8. Combining physics, mathematics and computer science, topological quantum computation is a rapidly expanding research area focused on the exploration of quantum evolutions that are immune to errors.

In this book, the author presents a variety of different topics developed together for the first time, forming an excellent introduction to topological quantum by: Combining physics, mathematics and computer science, topological quantum computation is a rapidly expanding research area focused on the exploration of quantum evolutions that are immune to errors.

In this book, the author presents a variety of different topics developed together for the first time, forming an excellent introduction to topological quantum computation.

Combining physics, mathematics and computer science, topological quantum computation is a rapidly expanding research area focused on the exploration of quantum evolutions that are immune to s: 1.

Combining physics,mathematicsandcomputerscience,topological quantumcomputation is a rapidly expanding research area focused on the exploration of quantum evolutions that are immune to errors.

In this book, the author presents a variety of different topics devel. In this book, the author presents a variety of different topics developed together for the first time, forming an excellent introduction to topological quantum : Jiannis Pachos.

Topological quantum computation is a computational paradigm based on topological phases of matter, which are governed by topological quantum field theories. In this approach, information is stored in the lowest energy states of many-anyon systems and processed by. Topological quantum computation encodes and manipulates information by exclusively employing anyons.

To study the computational power of anyons we plan to look into their fusion and braiding properties in a systematic way. This will allow us to identify a Hilbert space, where quantum information can be encoded fault-tolerantly.

In this book, the author presents a variety of different topics developed together for the first time, forming an excellent introduction to topological quantum computation. The makings of anyonic systems, their properties and their computational power are presented in a pedagogical : Jiannis K.

Pachos. 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 Cited by: 8. Part I. Preliminaries: 1. Introduction; 2. Geometric and topological phases; 3. Quantum computation; 4. Computational power of anyons; Part II. Topological Models: 5 Cited by: Introduction To Topological Quantum Computation | Pachos, Jiannis K.

| download | B–OK. Download books for free. Find books. 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.

Topological quantum computing is an interdisciplinary field that requires a good understand- ing of wide-ranging subjects in mathematics, physics, and computer science.

As such, it has been difficult to understand the basic ideas and concepts; therefore, an introduction to the field. Introduction to topological quantum computation.

[Jiannis K Pachos] -- "Combining physics, mathematics and computer science, topological quantum computation is a rapidly expanding research area focused on the exploration of quantum evolutions that are immune to errors.

to this, anyonic quantum computation promises to resolve the problem of errors from the hardware level. Topological systems can serve as quantum memories or as quantum computers. Topological Quantum: Lecture Notes S.

Simon Michaelmas not necessarily the right outline for making a good book. Topological Quantum page 2. Contents 1 Introduction and History of Topology and Kelvin 7 15 Introduction to Fractional Quantum Hall E ect SciPost Phys.

3, () A short introduction to topological quantum computation Ville T. Lahtinen1 and Jiannis K. Pachos2. 1 Freie Universität Berlin, Arnimal Berlin, Germany 2 School of Physics and Astronomy, University of Leeds, Leeds, LS2 9JT, United [email protected] Abstract This review presents an entry-level introduction to topological quantum computation –.

Topological quantum computation is a paradigm to build a large scale quantum computer based on topological phases of matter. In this approach, information is stored in the lowest energy states of many-anyon systems and processed by braidingFile Size: KB.

Topological quantum computation is an approach to storing and manipulating quantum information that employs exotic quasiparticles, called anyons. Anyons are interesting on their own right in funda- mental physics, as they generalise the statistics of the commonly known bosons and Size: 2MB.

This review presents an entry-level introduction to topological quantum computation -- quantum computing with anyons. We introduce anyons at the system-independent level of anyon models and discuss the key concepts of protected fusion spaces and statistical quantum evolutions for encoding and processing quantum information.

Both the encoding and the processing are inherently Cited by: Let’s talk about the quantum computing books you’ve recommended, which you’ve ranked in order of difficulty. The first one on the list is Computing with Quantum Cats, which is by the British science writer John ’s written a number of popular science books, including In Search of Schrodinger’s this is a quantum computing book with no math at all.