Last edited by Mikalabar
Tuesday, July 7, 2020 | History

4 edition of Quantum topology found in the catalog.

Quantum topology

Louis H. Kauffman

Quantum topology

by Louis H. Kauffman

  • 90 Want to read
  • 28 Currently reading

Published by World Scientific in Singapore, River Edge, NJ .
Written in English

    Subjects:
  • Topology.,
  • Quantum theory.

  • Edition Notes

    Includes bibliographical references.

    StatementLouis H. Kauffman, Randy A. Baadhio.
    SeriesSeries on knots and everything ;, v. 3, K & E series on knots and everything ;, v. 3.
    ContributionsBaadhio, Randy A.
    Classifications
    LC ClassificationsQA611 .K36 1993
    The Physical Object
    Paginationxii, 375 p. :
    Number of Pages375
    ID Numbers
    Open LibraryOL1214355M
    ISBN 109810215444
    LC Control Number94211567
    OCLC/WorldCa29015238

    Quantum Topology (Series on Knots and Everything, Vol 3) Book Title:Quantum Topology (Series on Knots and Everything, Vol 3). Subjects: Quantum Physics (quant-ph); Geometric Topology () [41] arXiv [ pdf, ps, other ] Title: Quantum Algorithms for the Jones Polynomial.

    A very nice book is from Kauffman called Knots and Physics. Also the book by Baez and Munaiin has two introductory chapters on Chern-Simons theory and its relation to link invariants. There are also some physical applications of Chern-Simons Theory. Geometry and topology play key roles in the encoding of quantum information in physical systems. Ability to detect and exploit geometrical and topological invariants is particularly useful when dealing with transmission, protection and measurement of the fragile quantum information. In this Thesis, we study quantum information.

    Hence, the paths now have different topology and different statistical quantum evolutions can be assigned to each. those of bosons and fermions [11]. By manipulating these excitations, quantum states could be encoded in the global properties of the system and manipulated by transporting the anyons along non-contractible paths. This book describes a striking connection between topology and algebra, namely that 2D topological quantum field theories are equivalent to commutative Frobenius algebras. The precise formulation of the theorem and its proof is given in terms of monoidal categories, and the main purpose of the book is to develop these concepts from an elementary level, and more generally serve as an.


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Quantum topology by Louis H. Kauffman Download PDF EPUB FB2

Quantum Topology (Series on Knots and Everything (Paperback)): Kauffman, Louis H, Thorman, Michael P, Baadhio, Randy A: : Books. + $ shipping. Used: Very Good | Details. Sold by dyskolosdaskalos.

Condition: Used: Very Good. Comment: Nice copy with mild crease to front cover's lower corner tip. (GAR'17) Add to : Louis H Kauffman. This book constitutes a review volume on the relatively new subject of Quantum Topology.

Quantum Topology has its inception in the / discoveries of new invariants of knots and links (Jones, Homfly and Kauffman polynomials). These invariants were rapidly connected with quantum groups and methods in statistical : Hardcover.

Now though ideas from physics have been finding applications in mathematics, and many exciting results in mathematics have appeared in the last twenty years due to this. This book is a brief overview of some of these at the time of publication, which is called 'topological quantum field theory' or 'quantum topology'.Cited by: 4.

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 non-specialists and researchers from a variety of by:   This book is written for the theoretical physicist in mind.

It is somewhat out-of-date, as there have been many developments in differential topology, such as the Seiberg-Witten theory, since this book was published. However, it might still serve the reader with an introduction to Cited by: Makes the key themes of quantum physics accessible to undergraduates Covers the latest developments in aLIGO and the limits of Quantum Measurement, Higgs and Spontaneous Symmetry Breaking, Quantum Computing and Transmons Well illustrated, with.

The book is not a collection of topics, rather it early employs the language of point set topology to define and discuss topological groups. These geometric objects in turn motivate a further discussion of set-theoretic topology and of its applications in function s: 5.

Quantum Topology is a peer reviewed journal dedicated to publishing original research articles, short communications, and surveys in quantum topology and related areas of mathematics. Topics covered include in particular: Low-dimensional Topology; Knot Theory; Jones Polynomial and Khovanov Homology; Topological Quantum Field Theory.

I’m not sure if these notes will become a book or not. In some ways the notes for a course are not necessarily the right outline for making a good book. Topological Quantum page 2.

Contents 1 Introduction and History of Topology and Kelvin 7 2 Kau man Knot Invariant and Relation to Physics 9. Topology and quantum computing. Topology is a branch of mathematics describing structures that experience physical changes such as being bent, twisted, compacted, or stretched, yet still maintain the properties of the original form.

When applied to quantum computing, topological properties create a level of protection that helps a qubit retain. Quantum topology is the study and invention of topological invariants via the use of analogies and techniques from mathematical physics.

Many invari- ants such as the Jones polynomial are constructed via partition functions and generalized quantum amplitudes. As a result, one expects to see relationships between knot theory and physics.

Quantum topology is a branch of mathematics that connects quantum mechanics with low-dimensional topology. Dirac notation provides a viewpoint of quantum mechanics which becomes amplified into a framework that can embrace the amplitudes associated with topological spaces and the related embedding of one space within another such as knots and links in three-dimensional space.

Quantum Topology And Global Anomalies (Advanced Series In Mathematical Physics series) by Randy A Baadhio. Anomalies are ubiquitous features in quantum field theories. They can ruin the consistency of such theories and put significant restrictions on their viability, especially in dimensions higher than four.

This book constitutes a review volume on the relatively new subject of Quantum Topology. Quantum Topology has its inception in the / discoveries of new invariants of knots and links (Jones, Homfly and Kauffman polynomials).

These invariants were rapidly connected with quantum groups and methods in statistical mechanics. This book constitutes a review volume on the relatively new subject of Quantum Topology.

Quantum Topology has its inception in the / discoveries of new invariants of knots and links (Jones, Homfly and Kauffman polynomials). These invariants were rapidly connected with quantum groups and methods in statistical mechanics.

ISBN: X OCLC Number: Description: xii, pages: illustrations ; 22 cm. Contents: Introduction to Quantum Topology / L. Kauffman --Knot Theory, Exotic Spheres and Global Gravitational Anomalies / R.

Baadhio --A Diagrammatic Theory of Knotted Surfaces / J. Carter and M. Saito --Four Dimensional TQFT; A. The Tools You Need to Tackle the Next Generation of Quantum Technology This book facilitates both the construction of a common quantum language and the development of interdisciplinary quantum techniques, which will aid efforts in the pursuit of the ultimate goal-a "real" scalable quantum computer.

Quantum Computing and Quantum Topology. In gauge theory and mathematical physics, a topological quantum field theory (or topological field theory or TQFT) is a quantum field theory which focuses on topological invariants. Although TQFTs were invented by physicists, they are also of mathematical interest, being related to, among other things, knot theory and the theory of four-manifolds in algebraic topology, and to the theory of.

This book constitutes a review volume on the relatively new subject of Quantum Topology. Quantum Topology has its inception in the / discoveries of new invariants of knots and links (Jones, Homfly and Kauffman polynomials).

These invariants were rapidly connected with quantum groups and methods in statistical mechanics. This was followed by Edward Witten's introduction of methods of. Figure 2. The integer quantum Hall effect.

Plotting the Hall resistance (essentially the reciprocal of the Hall conductance) of a low-temperature two-dimensional electron gas against the strength of the imposed magnetic field normal to the gas plane, one finds a stairlike quantized sequence of Hall conductances very precisely equal to ne 2 /h, where n is the integer that characterizes each.

Discovery: a new route to topology. Our qubit architecture is based on nanowires, which under certain conditions (low-temperature, magnetic field, material choice) can enter a topological state. Topological quantum hardware is intrinsically robust against local sources of noise, making it particularly appealing as we scale up the number of qubits.Abstract: This textbook for upper-level undergraduates covers the fundamentals and incorporates key themes of quantum physics.

Major themes include boson condensation and fermion exclusivity, entanglement, quantum field theory, measurement precision set by quantum mechanics, and topology.at the interface of quantum topology, quantum physics, and quantum computing, enriching all three subjects with new problems. The inspiration comes from two seemingly independent themes which appeared around One was Kitaev’s idea of fault-tolerant quantum computation by anyons [Ki1], and the other was Freed.