Zhenghan Wang's Books

Topological Quantum Computation

By: Zhenghan Wang

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Topological Quantum Computation

By: Zhenghan Wang

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.

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Page Count

134

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821849301

ISBN 13

9780821849309

Topology and Physics

Proceedings of the Nankai International Conference in Memory of Xiao-Song Lin, Tianjin, China, 27-31 July 2007

By: Zhenghan Wang

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Topology and Physics

Proceedings of the Nankai International Conference in Memory of Xiao-Song Lin, Tianjin, China, 27-31 July 2007

By: Zhenghan Wang

This unique volume, resulting from a conference at the Chern Institute of Mathematics dedicated to the memory of Xiao-Song Lin, presents a broad connection between topology and physics as exemplified by the relationship between low-dimensional topology and quantum field theory.The volume includes works on picture (2+1)-TQFTs and their applications to quantum computing, Berry phase and YangOCoBaxterization of the braid relation, finite type invariant of knots, categorification and Khovanov homology, GromovOCoWitten type invariants, twisted Alexander polynomials, Faddeev knots, generalized Ricci flow, CalabiOCoYau problems for CR manifolds, Milnor''s conjecture on volume of simplexes, Heegaard genera of 3-manifolds, and the (A, B)-slice problem. It also includes five unpublished papers of Xiao-Song Lin and various speeches related to the memorial conference

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Page Count

466

Publisher

World Scientific

Published Date

ISBN 10

9812819118

ISBN 13

9789812819116

Topological Quantum Computation

By: Zhenghan Wang

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Topological Quantum Computation

By: Zhenghan Wang

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

134

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821849301

ISBN 13

9780821849309

Book's by Zhenghan Wang

Topological Quantum Computation

Topological Quantum Computation

Topology and Physics

Topology and Physics

Topological Quantum Computation

Topological Quantum Computation

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