  The multichannel Kondo model supports effective anyons on the partially
screened impurity, as suggested by its fractional impurity entropy. It was
recently demonstrated for the multi-impurity chiral Kondo model, that
scattering of an electron through the impurities depends on the anyon's total
fusion channel. Here we study the correlation between impurity-spins. We argue,
based on a combination of conformal field theory, a perturbative limit with a
large number of channels $k$, and the exactly solvable two-channel case, that
the inter-impurity spin correlation probes the anyon fusion of the pair of
correlated impurities. This may allow, using measurement-only topological
quantum computing protocols, to braid the multichannel Kondo anyons via
consecutive measurements.
