Effects of disorder on Coulomb-assisted braiding of Majorana zero modes

Abstract

Majorana zero modes in one-dimensional topological superconductors obey non-Abelian braiding statistics. Braiding manipulations can be realized by controlling Coulomb couplings in hybrid Majorana-transmon devices. However, strong disorder may induce accidental Majorana modes, which are expected to have detrimental effects on braiding statistics. Nevertheless, we show that the Coulomb-assisted braiding protocol is efficiently realized also in the presence of accidental modes. The errors occurring during the braiding cycle are small if the couplings of the computational Majorana modes to the accidental ones are much weaker than the maximum Coulomb coupling.

7 pages, 4 figures, this is the final, published version

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Cited by in corpus (18)

• Reproducing topological properties with quasi-Majorana states
• A Short Introduction to Topological Quantum Computation
• The multi-terminal Josephson effect
• Majorana braiding with thermal noise
• Braiding errors in interacting Majorana quantum wires
• Monte Carlo studies of the properties of the Majorana quantum error correction code: is self-correction possible during braiding?
• Braiding-based quantum control of a Majorana qubit built from quantum dots
• Parafermion braiding in fractional quantum Hall edge states with finite chemical potential
• Kitaev spin models from topological nanowire networks
• Quantum memories with zero-energy Majorana modes and experimental constraints
• Spin, orbital and topological order in models of strongly correlated electrons
• Symmetry-protected topological invariant and Majorana impurity states in time-reversal-invariant superconductors
• Quantized spin pumping in topological ferromagnetic-superconducting nanowires
• Boosting Transparency in Topological Josephson Junctions via Stencil Lithography
• Impurity-induced excitations in a topological two-dimensional ferromagnet/superconductor van der Waals moiré heterostructure
• Minimal circuit for a flux-controlled Majorana qubit in a quantum spin-Hall insulator
• Frustrated Frustration of Arrays with Four-Terminal Nb-Pt-Nb Josephson Junctions
• Quantifying the non-Abelian property of Andreev bound states in inhomogeneous Majorana nanowires