May 31, 2017 topological qubits are among the more baffling, and if practical, more promising ways to approach scalable quantum computing. Introduction to topological quantum computation by j. Zhenghan wang is the author of topological quantum computation 3. Destination page number search scope search text search scope search text. Topological quantum computation is a computational paradigm based on topological phases of matter, which are governed by topological quantum field.
Topological quantum computation regional conference series in mathematics conference board of the mathematical sciences, no. The particles necessary for it probably exist in the lab. We use cookies to give you the best possible experience. Universal quantum computation with metaplectic anyons. We first introduce gapped boundaries of kitaevs quantum double models for dijkgraafwitten theories using their hamiltonian realizations. The advantage of a quantum computer based on quantum braids over using. Topological quantum computation by zhenghan wang, 9780821849309, available at book depository with free delivery worldwide. Larsen, and zhenghan wang proved that a topological quantum computer can, in principle, perform any computation that a conventional quantum computer can do, and vice versa. Oct 21, 2016 microsoft has been working on topological quantum computing for more than a decade, for most of which the necessary qubits were hypothetical. Microsoft research, one microsoft way, redmond, wa 98052. Topological quantum computation american mathematical society. The mathematical sciences research institute msri, founded in 1982, is an independent nonprofit mathematical research institution whose funding sources include the national science foundation, foundations, corporations, and more than 90 universities and institutions. Click download or read online button to get topological quantum computation book now. A topological quantum computer is a theoretical quantum computer that employs twodimensional quasiparticles called anyons, whose world lines pass around one another to form braids in a threedimensional spacetime i.
Universal quantum computation with metaplectic anyons, journal of mathematical physics, 2015. Buy topological quantum computation by jiri matousek, zhenghan wang online at alibris. Topological quantum computation freedman 97, kitaev 97, flw 00. On topological quantum computing with mapping class group. Introduction to topological quantum computation by jiannis k. Zhenghan wang topological quantum computation is a computational paradigm based on topological phases of matter, which are governed by topological quantum field theories. Topological systems can serve as quantum memories or as quantum computers. Zhenghan wang author of topological quantum computation. Topological quantum computation topological quantum computation tqc is a computational model built upon systems oftopological phases. Topological quantum computation is a computational paradigm based on topological phases of matter, which are governed by topological quantum field theories.
The theory of quantum computation can be constructed from the. Kitaev, faulttolerant quantum computation by anyons. They will likely lead to a new wave of technological innovations in communication, computation and cryptography. Wang z 2010 topological quantum computation cbms regional conf. Topological quantum computation regional conference. A topological phase is a class of gapped hamiltonians that realize. Citeseerx document details isaac councill, lee giles, pradeep teregowda. The makings of anyonic systems, their properties and their computational power are presented in a pedagogical way. Zhenghan wangs research works university of california, santa. Twists are defects corresponding to the endpoints of domain walls and are asso. Topological quantum computation zhenghan wang ebok. Topological quantum computation books pics download. Topological quantum computation cbms regional conference series in mathematics by zhenghan wang.
In this approach, information is stored in the lowest energy states of manyanyon systems and processed by braiding nonabelian anyons. The computational answer is accessed by bringing anyons together and observing the result. In this approach, information is stored in the lowest energy states of manyanyon systems and processed by. Topological quantum computation by jiri matousek, zhenghan. This paper studies faulttolerant quantum computation with gapped boundaries. For additional information and updates on this book, visit. Any reasonable computation can be done by turing machines. Download topological quantum computation ebook free in pdf and epub format. This site is like a library, use search box in the widget to get ebook that you want. The implications are farreaching, from the predicted existence of quasiparticles with nonabelian exchange statistics to novel approaches to quantum computing where the topology of qubit protects it against decoherence. This book expands on the authors cbms lectures on knots and topological quantum computing and is intended as a primer for mathematically inclined graduate. Cbms regional conference series in mathematics publication year 2010.
We examine a class of operations for topological quantum computation. Universality is an important property that needs to be satis. The boundaries and twist defects of the color code and their applications to topological quantum computation. Quantum computers should be capable of performing tasks that would be very difficult, if not impossible, with digital computers, such as finding the prime factors of large numbers, searching large databases, and simulating quantum systems. This book expands the plan of the authors 2008 nsfcbms lectures on knots. Sep 21, 2012 introduction to topological quantum computation by j.
This 10th anniversary edition includes an introduction from the authors setting the work in context. In this book, a variety of different topics are presented together for the first time, forming a thorough introduction to topological quantum computation. Topological quantum computation zhenghan wang publication year. Topological phases of matter a topological quantum phase is represented by a quantum theory whose low energy physics in the thermodynamic limit is modeled by a. Keeping highlevel and technical language to a minimum, the author adopts a pedagogical style, making the book accessible to nonspecialists and researchers from a variety of subdisciplines. The makings of topological systems, their properties and their computational power are presented in a pedagogical way. Topological quantum computation mathematical association of. They underlie the jones polynomial and arise in wittenchernsimons theory. Braiding defects in topological stabiliser codes can be used to faulttolerantly implement logical operations. Topological quantum computation is a crazy idea, but no less crazy than other ideas for quantum computing. In this book, the author presents a variety of different topics developed together for the. We study novel invariants of modular categories that are beyond the modular.
Topological quantum computation kitaev 97, flw 00 time. Topological quantum computation cbms regional conference series in mathematics. Topological quantum computer project gutenberg self. The workshop is focused on the emerging field of topological quantum computation, which seeks the alternative implementation of quantum information processing in topologically ordered physical systems. In topological quantum computing, information is encoded in knotted quantum states of topological phases of matter, thus being locked into topology to prevent decay. The institute is located at 17 gauss way, on the university of california, berkeley campus, close to grizzly peak, on the.
The braiding and fusion of anyonic excitations in quantum hall electron liquids and 2dmagnets are modeled by modular functors, opening a new. Quantum computation and quantum information are of great current interest in computer science, mathematics, physical sciences and engineering. Fractional quantum hall systems are the best studied. Jun 30, 2010 topological quantum computation by zhenghan wang, 9780821849309, available at book depository with free delivery worldwide. The theory of quantum computation can be constructed from the abstract study of anyonic systems.
Submitted on 17 may 2017 v1, last revised 5 dec 2017 this. May 29, 2010 topological quantum computation is a computational paradigm based on topological phases of matter, which are governed by topological quantum field theories. The braiding and fusion of anyonic excitations in quantum hall electron liquids and 2dmagnets are modeled by modular functors, opening a. Pdf topological quantum computation download ebook for free. Topological precision has been confirmed in quantum hall liquids by experiments to an accuracy of 10.
Pachos zhenghan wang 1 quantum information processing volume 11, pages 1969 1973 2012 cite this article. We have new and used copies available, in 0 edition starting at. Topological quantum computation download ebook pdf, epub. Magnets with nondiagonal braiding exist in theoryland. Zhenghan wangs research works university of california. The advantage of a quantum computer based on quantum braids.
Zhenghan wang s 112 research works with 3,437 citations and 5,198 reads, including. Cui, yuting hu, wei jin, ramis movassagh, pieter naaijkens, zhenghan wang, amanda young. Jun 12, 2017 arxiv topological quantum computation. Topological quantum computation with gapped boundaries. 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. Microsoft, purdue tackle topological quantum computer.
On enriching the levinwen model with symmetry, journal of physics a, 2015. Libros en idiomas extranjeros saltar al contenido principal. They underlie the jones polynomial and arise in wittenchern. One of the most cited books in physics of all time, quantum computation and quantum information remains the best textbook in this exciting field of science. These braids form the logic gates that make up the computer. Discover book depositorys huge selection of zhenghan wang books online. Landau institute for theoretical physics, kosygina st. Topological quantum computation zhenghan wang microsoft research station q, cnsi bldg rm 2237, university of california, santa barbara, ca 931066105, u.
Inside microsofts quest for a topological quantum computer. Topological quantum computation with gapped boundaries and boundary defects. Aug 12, 2008 discover book depositorys huge selection of zhenghan wang books online. Topological quantum computation cbms regional conference. Topological quantum computation mathematical association. Zhenghan wangs 114 research works with 3773 citations and 5361 reads. As described above, topological quantum computation is novel wa y to perform quantum computation which attempts to solv e the problem of decoherence at the chapter 1. However, enormous scientific and engineering challenges must be overcome for scalable quantum computers to be realized. Topological quantum computation microsoft research. Kesselring 1, fernando pastawski 1, jens eisert 1, and benjamin j.
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