2015/01/07 by Michael Freedman, Michael H. Freedman, Freedman, Michael H. +3
Mathematics · Physics and Astronomy · #81-08 #FOS: Mathematics #FOS: Physical sciences #Physics of Superconductivity and Magnetism #Quantum Algebra (math.QA) #Quantum Physics (quant-ph) #Quantum and electron transport phenomena #Topological Materials and Phenomena #math.QA #msc:81-08 #quant-ph
paper · pdf · doi:10.48550/arxiv.1501.01339
6 pages, 7 figures
arxiv created 2015/01/07 · openalex publication_date 2015/01/07 · arxiv updated 2015/01/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The distinct methods for measuring topological charge in a non-abelian anyonic system have been discussed in the literature: projective measurement of a single point-like quasiparticle and interferometric measurement of the total topological charge of a group of quasiparticles. Projective measurement by definition is only applied near a point and will project to a topological charge sector near that point. Thus, if it is to be applied to a group of anyons to project to a total charge, then the anyons must first be fused one by one to obtain a single anyon carrying the collective charge. We show that interferometric measurement is strictly stronger: Any protocol involving projective measurement can be simulated at low overhead by another protocol involving only interferometric measurement.