Kondo-based Qubits for Topological Quantum Computation
Abstract
We propose to use residual parafermions of the overscreened Kondo effect for topological quantum computation. A superconducting proximity gap of can be utilized to isolate the parafermion from the continuum of excitations and stabilize the non-trivial fixed point. We use weak-coupling renormalization group, dynamical large-N technique and bosonization to show that the residual entropy of multichannel Kondo impurities survives in a superconductor. We find that while (in agreement with recent numerical studies) the non-trivial fixed point is unstable against intra-channel pairing, it is robust in presence of a finite inter-channel pairing. Based on this observation, we suggest a superconducting charge Kondo setup for isolating and detecting the Majorana fermion in the two-channel Kondo system.
Cite
@article{arxiv.1911.08329,
title = {Kondo-based Qubits for Topological Quantum Computation},
author = {Yashar Komijani},
journal= {arXiv preprint arXiv:1911.08329},
year = {2020}
}