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 (63)

• Milestones toward Majorana-based quantum computing
• From Andreev to Majorana bound states in hybrid superconductor-semiconductor nanowires
• A Short Introduction to Topological Quantum Computation
• Majorana nanowires for topological quantum computation
• Non-adiabatic processes in Majorana qubit systems
• Correlations between Majorana fermions through a superconductor
• Majorana braiding with thermal noise
• Classification of topological insulators and superconductors out of equilibrium
• Topological Phases of Inhomogeneous Superconductivity
• Readout of Majorana Qubits
• Robustness of quantum memories based on Majorana zero modes
• Survival probability of an edge Majorana in a 1-D p-wave superconducting chain under sudden quenching of parameters
• Classification of engineered topological superconductors
• Dephasing and leakage dynamics of noisy Majorana-based qubits: Topological versus Andreev
• Parity-to-charge conversion in Majorana qubit readout
• Majoranas in Noisy Kitaev Wires
• Majorana bound states in a disordered quantum dot chain
• Exact master equation and decoherence dynamics of Majorana zero modes under the gate-induced charge fluctuation
• Exact Master Equation and General Non-Markovian Dynamics in Open Quantum Systems
• Fault-Tolerant Quantum Error Correction for non-Abelian Anyons
• Monte Carlo studies of the properties of the Majorana quantum error correction code: is self-correction possible during braiding?
• Lifetime of Majorana qubits in Rashba nanowires with non-uniform chemical potential
• Entangling Spins in Double Quantum Dots and Majorana Bound States
• Braiding-based quantum control of a Majorana qubit built from quantum dots
• Quench dynamics of fermion-parity switches in a Josephson junction
• Degeneracy lifting of Majorana bound states due to electron-phonon interactions
• Microwave readout of Majorana qubits
• Effects of disorder on Coulomb-assisted braiding of Majorana zero modes
• Error generation and propagation in Majorana-based topological qubits
• Optimal diabatic dynamics of Majorana-based quantum gates
• Dissipative topological systems
• Spin Transfer of Quantum Information between Majorana Modes and a Resonator
• Decoherence Patterns of Topological Qubits from Majorana Modes
• Effects of non-equilibrium noise on a quantum memory encoded in Majorana zero modes
• Interacting Symmetry-Protected Topological Phases Out of Equilibrium
• Hysteresis from nonlinear dynamics of Majorana modes in topological Josephson junctions
• Quantum transport through a quantum dot side-coupled to a Majorana bound state pair in the presence of electron-phonon interaction
• Effects of decoherence on diabatic errors in Majorana braiding
• Manipulation of Majorana Kramers Qubit and its Tolerance in Time-Reversal-Invariant Topological Superconductor
• Possibility of adiabatic transport of a Majorana edge state through an extended gapless region
• Coherent manipulation of a Majorana qubit by a mechanical resonator
• Optimal noise-canceling shortcuts to adiabaticity: application to noisy Majorana-based gates
• Manipulating the Majorana Qubit with the Landau-Zener-Stückelberg Interference
• Fidelity and visibility reduction in Majorana qubits by entanglement with environmental modes
• Influence of long-range interaction on Majorana zero modes
• Exact zero modes and decoherence in systems of interacting Majorana fermions
• Coexistence of Strong and Weak Majorana Zero Modes in Anisotropic XY Spin Chain with Second-Neighbor Interaction
• Decoherence dynamics of Majorana qubits under braiding operations
• Survival probability in a quenched Majorana chain with an impurity
• Dephasing of Majorana qubits due to quasistatic disorder
• Constrained thermalisation and topological superconductivity
• Critical current for an insulating regime of an underdamped current-biased topological Josephson junction
• Exfoliated hexagonal BN as gate dielectric for InSb nanowire quantum dots with improved gate hysteresis and charge noise
• Phonon-induced Majorana Qubit Relaxation in Tunnel-Coupled Two-Island Topological Superconductors
• Effects of dynamical noises on Majorana bound states
• 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
• Protected ground states in short chains of coupled spins in circuit quantum electrodynamics
• Memory-Critical Dynamical Buildup of Phonon-Dressed Majorana Fermions
• Entanglement entropy of a three-spin interacting spin chain with a time-reversal breaking impurity at one boundary
• Tight-Binding Energy-Phase Calculation for Topological Josephson Junction Nanowire Architecture
• Decoherence of Majorana zero modes mediated by gapless fermions