The fractional quantum Hall effect and superconductivity, remarkable phenomena in their own right, can harbour even moreudexotic physics at their interface. In particular, coupling quantum Hall edges with a superconductor can create emergentudexcitations known as non-Abelian anyons that trap widely coveted Majorana fermion zero-modes and generalizations thereof.udWe uncover non-local transport signatures of these zero-modes that not only provide striking experimental signatures of theudanyons, but moreover allow one to construct novel circuit elements, including superconducting current and voltage mirrors,udfractional charge transistors and flux-based capacitors. Underlying this unusual transport is a phenomenon that we termud‘perfect Andreev conversion’—whereby quasiparticles propagating chirally at the edge reverse their electric charge as a resultudof hybridization with the zero-modes. Our findings suggest numerous experimental directions in the study of quantum-Hall–superconductor systems hybrids and highlight a fundamentally new application of non-Abelian anyons.
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