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Knot Theory, Jones Polynomial and Quantum Computing

  • Rūsiņš Freivalds
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3618)

Abstract

Knot theory emerged in the nineteenth century for needs of physics and chemistry as these needs were understood those days. After that the interest of physicists and chemists was lost for about a century. Nowadays knot theory has made a comeback. Knot theory and other areas of topology are no more considered as abstract areas of classical mathematics remote from anything of practical interest. They have made deep impact on quantum field theory, quantum computation and complexity of computation.

Keywords

Polynomial Time Quantum Computing Topological Quantum Jones Polynomial Hyperbolic Structure 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  • Rūsiņš Freivalds
    • 1
  1. 1.Institute of Mathematics and Computer ScienceUniversity of LatviaRīgaLatvia

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