Topological Quantum Computation on a Chiral Kondo Chain

Abstract

We describe the chiral Kondo chain model based on the symplectic Kondo effect and demonstrate that it has a quantum critical ground state populated by non-Abelian anyons. We show that the fusion channel of two arbitrary anyons can be detected by locally coupling the two anyons to an extra single channel of chiral current and measuring the corresponding conductance at finite frequency. Based on such measurements, we propose that the chiral Kondo chain model with symplectic symmetry can be used for implementation of measurement-only topological quantum computations, and it possesses a number of distinct features favorable for such applications. The sources and effects of errors in the proposed system are analyzed, and possible material realizations are discussed.

arXiv comment19 pages, 7 figures, appendix updated

References in corpus (38)

• Fault-tolerant quantum computation by anyons
• Non-Abelian Anyons and Topological Quantum Computation
• Anyons in an exactly solved model and beyond
• Unpaired Majorana fermions in quantum wires
• Quantized Anomalous Hall Effect in Magnetic Topological Insulators
• Measurement-based quantum computation with cluster states
• Majorana Zero Modes and Topological Quantum Computation
• Quantum Annealing and Analog Quantum Computation
• Time-reversal symmetry-breaking charge order in a kagome superconductor
• Observation of the two-channel Kondo effect
• Measurement-Only Topological Quantum Computation
• Chiral flux phase in the Kagome superconductor AV${}_3$Sb${}_5$
• A Short Introduction to Topological Quantum Computation
• Three-state nematicity and magneto-optical Kerr effect in the charge density waves in kagome superconductors
• Quantum Anomalous Hall Effect with Higher Plateaus
• Exact SO(8) Symmetry in the Weakly-Interacting Two-Leg Ladder
• Two-channel Kondo effect and renormalization flow with macroscopic quantum charge states
• A short introduction to Fibonacci anyon models
• Tunable Quantum Criticality and Super-ballistic Transport in a `Charge' Kondo Circuit
• Charge order breaks time-reversal symmetry in CsV${}_3$Sb${}_5$
• Interferometry of non-Abelian Anyons
• Non-perturbative methodologies for low-dimensional strongly-correlated systems: From non-abelian bosonization to truncated spectrum methods
• Universal Fermi liquid crossover and quantum criticality in a mesoscopic device
• Loop currents in $A$V${}_3$Sb${}_5$ kagome metals: multipolar and toroidal magnetic orders
• Exclusion Statistics in Conformal Field Theory -- generalized fermions and spinons for level-1 WZW theories
• Quantum simulation of an exotic quantum critical point in a two-site charge Kondo circuit
• Anyons in Multichannel Kondo Systems
• Kondo-based Qubits for Topological Quantum Computation
• Interplay of the Scaling Limit and the Renormalization Group: Implications for Symmetry Restoration
• Multidome superconductivity in charge density wave kagome metals
• Fibonacci anyons versus Majorana fermions
• SO(5) non-Fermi liquid in a Coulomb box device
• Manipulating Non-Abelian Anyons in a Chiral Multichannel Kondo Model
• Multi-impurity chiral Kondo model: correlation functions and anyon fusion rules
• ABCD of Kondo effect
• Topological symplectic Kondo effect
• SO(5) critical point in a spin-flavor Kondo device -- Bosonization and refermionization solution
• Chiral numerical renormalization group

Cited by in corpus (3)

• Topological Kondo effect with spinful Majorana fermions
• Topological ground state degeneracy of the two-channel Kondo lattice
• Relevance of Anisotropy in the Kondo Effect: Lessons From the Symplectic Case