Item Successfully Added to Cart
An error was encountered while trying to add the item to the cart. Please try again.
OK
Please make all selections above before adding to cart
OK
Share this page via the icons above, or by copying the link below:
Copy To Clipboard
Successfully Copied!
Topological Quantum Computation
 
Zhenghan Wang Microsoft, Santa Barbara, CA
A co-publication of the AMS and CBMS
Topological Quantum Computation
Topological Quantum Computation
Softcover ISBN:  978-0-8218-4930-9
Product Code:  CBMS/112
List Price: $41.00
Individual Price: $32.80
eBook ISBN:  978-1-4704-1570-9
Product Code:  CBMS/112.E
List Price: $38.00
MAA Member Price: $34.20
AMS Member Price: $30.40
Softcover ISBN:  978-0-8218-4930-9
eBook: ISBN:  978-1-4704-1570-9
Product Code:  CBMS/112.B
List Price: $79.00$60.00
Topological Quantum Computation
Click above image for expanded view
Topological Quantum Computation
Topological Quantum Computation
Zhenghan Wang Microsoft, Santa Barbara, CA
A co-publication of the AMS and CBMS
Softcover ISBN:  978-0-8218-4930-9
Product Code:  CBMS/112
List Price: $41.00
Individual Price: $32.80
eBook ISBN:  978-1-4704-1570-9
Product Code:  CBMS/112.E
List Price: $38.00
MAA Member Price: $34.20
AMS Member Price: $30.40
Softcover ISBN:  978-0-8218-4930-9
eBook ISBN:  978-1-4704-1570-9
Product Code:  CBMS/112.B
List Price: $79.00$60.00
  • Book Details
     
     
    CBMS Regional Conference Series in Mathematics
    Volume: 1122010; 115 pp
    MSC: Primary 57; 81; 68; 18;

    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 braiding non-abelian anyons. The computational answer is accessed by bringing anyons together and observing the result. Besides its theoretical esthetic appeal, the practical merit of the topological approach lies in its error-minimizing hypothetical hardware: topological phases of matter are fault-avoiding or deaf to most local noises, and unitary gates are implemented with exponential accuracy. Experimental realizations are pursued in systems such as fractional quantum Hall liquids and topological insulators.

    This book expands on the author's CBMS lectures on knots and topological quantum computing and is intended as a primer for mathematically inclined graduate students. With an emphasis on introducing basic notions and current research, this book gives the first coherent account of the field, covering a wide range of topics: Temperley-Lieb-Jones theory, the quantum circuit model, ribbon fusion category theory, topological quantum field theory, anyon theory, additive approximation of the Jones polynomial, anyonic quantum computing models, and mathematical models of topological phases of matter.

    A co-publication of the AMS and CBMS.

    Readership

    Graduate students and research mathematicians interested in quantum computers, topological quantum field theory.

  • Table of Contents
     
     
    • Chapters
    • Chapter 1. Temperley-Lieb-Jones theories
    • Chapter 2. Quantum circuit model
    • Chapter 3. Approximation of the Jones polynomial
    • Chapter 4. Ribbon fusion categories
    • Chapter 5. (2+1)-TQFTs
    • Chapter 6. TQFTs in nature
    • Chapter 7. Topological quantum computers
    • Chapter 8. Topological phases of matter
    • Chapter 9. Outlook and open problems
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 1122010; 115 pp
MSC: Primary 57; 81; 68; 18;

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 braiding non-abelian anyons. The computational answer is accessed by bringing anyons together and observing the result. Besides its theoretical esthetic appeal, the practical merit of the topological approach lies in its error-minimizing hypothetical hardware: topological phases of matter are fault-avoiding or deaf to most local noises, and unitary gates are implemented with exponential accuracy. Experimental realizations are pursued in systems such as fractional quantum Hall liquids and topological insulators.

This book expands on the author's CBMS lectures on knots and topological quantum computing and is intended as a primer for mathematically inclined graduate students. With an emphasis on introducing basic notions and current research, this book gives the first coherent account of the field, covering a wide range of topics: Temperley-Lieb-Jones theory, the quantum circuit model, ribbon fusion category theory, topological quantum field theory, anyon theory, additive approximation of the Jones polynomial, anyonic quantum computing models, and mathematical models of topological phases of matter.

A co-publication of the AMS and CBMS.

Readership

Graduate students and research mathematicians interested in quantum computers, topological quantum field theory.

  • Chapters
  • Chapter 1. Temperley-Lieb-Jones theories
  • Chapter 2. Quantum circuit model
  • Chapter 3. Approximation of the Jones polynomial
  • Chapter 4. Ribbon fusion categories
  • Chapter 5. (2+1)-TQFTs
  • Chapter 6. TQFTs in nature
  • Chapter 7. Topological quantum computers
  • Chapter 8. Topological phases of matter
  • Chapter 9. Outlook and open problems
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
You may be interested in...
Please select which format for which you are requesting permissions.