Decoherence of Majorana qubits by noisy gates

Abstract

We propose and study a realistic model for the decoherence of topological qubits, based on Majorana fermions in one-dimensional topological superconductors. The source of decoherence is the fluctuating charge on a capacitively coupled gate, modeled by non-interacting electrons. In this context, we clarify the role of quantum fluctuations and thermal fluctuations and find that quantum fluctuations do not lead to decoherence, while thermal fluctuations do. We explicitly calculate decay times due to thermal noise and give conditions for the gap size in the topological superconductor and the gate temperature. Based on this result, we provide simple rules for gate geometries and materials optimized for reducing the negative effect of thermal charge fluctuations on the gate.

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Cited by in corpus (20)

• Majorana nanowires for topological quantum computation
• Readout of Majorana Qubits
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• Parity-to-charge conversion in Majorana qubit readout
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• Braiding-based quantum control of a Majorana qubit built from quantum dots
• Degeneracy lifting of Majorana bound states due to electron-phonon interactions
• Microwave readout of Majorana qubits
• Decoherence Patterns of Topological Qubits from Majorana Modes
• Effects of decoherence on diabatic errors in Majorana braiding
• Possibility of adiabatic transport of a Majorana edge state through an extended gapless region
• Manipulation of Majorana Kramers Qubit and its Tolerance in Time-Reversal-Invariant Topological Superconductor
• Manipulating the Majorana Qubit with the Landau-Zener-Stückelberg Interference
• Influence of long-range interaction on Majorana zero modes
• Critical current for an insulating regime of an underdamped current-biased topological Josephson junction
• The differential conductance tunnel spectroscopy in an analytical solvable two-terminal Majorana device
• Many-body Majorana-like zero modes without gauge symmetry breaking
• Nonadiabatic braiding of Majorana modes
• Tight-Binding Energy-Phase Calculation for Topological Josephson Junction Nanowire Architecture
• Decoherence of Majorana zero modes mediated by gapless fermions