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A Probabilistic Evolutionary Optimization Approach to Compute Quasiparticle Braids

  • Roberto Santana
  • Ross B. McDonald
  • Helmut G. Katzgraber
Part of the Lecture Notes in Computer Science book series (LNCS, volume 8886)

Abstract

This paper proposes the use of estimation of distribution algorithms to deal with the problem of finding an optimal product of braid generators in topological quantum computing. We investigate how the regularities of the braid optimization problem can be translated into statistical regularities by means of the Boltzmann distribution. The introduced algorithm obtains solutions with an accuracy in the order of 10− 6, and lengths up to 9 times shorter than those expected from braids of the same accuracy obtained with other methods.

Keywords

topological computing quasiparticle braids probabilistic graphical models EDAs braid optimization Fibonacci anyons 

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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  • Roberto Santana
    • 1
  • Ross B. McDonald
    • 2
  • Helmut G. Katzgraber
    • 2
    • 3
  1. 1.Department of Computer Science and Artificial IntelligenceUniversity of the Basque Country (UPV/EHU)GuipuzcoaSpain
  2. 2.Department of Physics and AstronomyTexas A&M UniversityCollege StationUSA
  3. 3.Santa Fe InstituteSanta FeUSA

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