Interferometry versus projective measurement of anyons
| Autor: | Freedman, Michael H., Levaillant, Claire I. |
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| Rok vydání: | 2015 |
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| Druh dokumentu: | Working Paper |
| Popis: | 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 \emph{group} of anyons to project to a \emph{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. Comment: 6 pages, 7 figures |
| Databáze: | arXiv |
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