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 $\Delta <T_K$ 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.

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Cited by in corpus (32)

• Fractional entropy of multichannel Kondo systems from conductance-charge relations
• Excitations in a superconducting Coulombic energy gap
• Thermoelectric Transport in a Three-Channel Charge Kondo Circuit
• Fibonacci anyons versus Majorana fermions
• Observing the universal screening of a Kondo impurity
• Manipulating Non-Abelian Anyons in a Chiral Multichannel Kondo Model
• Emergent Spinon Dispersion and Symmetry Breaking in Two-Channel Kondo Lattices
• Multi-impurity chiral Kondo model: correlation functions and anyon fusion rules
• Emergent moments in a Hund's impurity
• Topological symplectic Kondo effect
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• Probing single-electron scattering through a non-Fermi liquid charge-Kondo device
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• Universal Crossover in the Three-Channel Charge Kondo Model at High Transparency
• Topological ground state degeneracy of the two-channel Kondo lattice
• Relevance of Anisotropy in the Kondo Effect: Lessons From the Symplectic Case
• Embedded Majorana Islands
• Genetic algorithm enhanced Solovay-Kitaev algorithm for quantum compiling of Fibonacci anyons
• Influence of topological degeneracy on the boundary Berezinskii-Kosterlitz-Thouless quantum phase transition of a dissipative resonant level
• Higher-Dimensional Chirally Stabilized Fixed Points and Their Deformations
• A mesoscopic device for a realization of the Topological Kondo effect