Fibonacci Anyons Versus Majorana Fermions: A Monte Carlo Approach to the Compilation of Braid Circuits in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" overflow="scroll"><mml:mi>SU</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>2</mml:mn><mml:msub><mml:mo stretchy="false">)</mml:mo><mml:mi>k</mml:mi></mml:msub></mml:math> Anyon Models
Emil Génetay Johansen, Tapio Simula
Abstract
An algorithmic approach to assess the potential of hybrid topological quantum computers is developed, allowing one to remove excess non-topological gates and reduce the impact of noise on the compiled braid circuits.
Topics & Concepts
Topological quantum computerBraidMAJORANAQuantum computerFibonacci numberBraid groupFermionMonte Carlo methodNoise (video)Quantum Monte CarloAnyonTopology (electrical circuits)Electronic circuitComputer scienceQuantumPhysicsMathematicsDiscrete mathematicsImage (mathematics)Pure mathematicsQuantum mechanicsCombinatoricsArtificial intelligenceMaterials scienceComposite materialStatisticsQuantum Computing Algorithms and ArchitectureTopological Materials and PhenomenaQuantum many-body systems