Recent experiments on the Kitaev material RuCl_3 support the emergence of a
magnetic-field-induced spin liquid phase featuring non-Abelian anyons,
which underlie intrinsically fault-tolerant topological quantum computation
schemes. This talk will explore two classes of measurements that probe the
hallmark chiral Majorana edge state and bulk anyons born in such a spin
liquid. The first class utilizes low-voltage electrical probes – despite
the fact that RuCl_3 realizes a good Mott insulator! To this end I will
introduce circuits that interface electrically active systems with RuCl_3
to perfectly convert physical fermions in the former into emergent fermions
in the latter, enabling analogues of transport probes
for topological superconductors. The second class of measurements utilizes
ancilla spins to implement a time-domain analog of anyon interferometry
developed for quantum Hall systems. Together, these results illuminate a
partial pathway towards exploiting Kitaev materials for topological quantum
computation.
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