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We examine interferometric measurements of the topological charge of(non-Abelian) anyons. The target's topological charge is measured from itseffect on the interference of probe particles sent through the interferometer.We find that superpositions of distinct anyonic charges a and a' in the targetdecohere (exponentially in the number of probes particles used) when the probeshave nontrivial monodromy with the charges that may be fused with a to give a'.Comment: 5 pages, 1 figure; v2: reference added, example added, clarifying  changes made to conform to the version published in PR

Decoherence of Anyonic Charge in Interferometry Measurements