Non-adiabatic processes in Majorana qubit systems

Abstract

We investigate the non-adiabatic processes occurring during the manipulations of Majorana qubits in 1-D semiconducting wires with proximity induced superconductivity. Majorana qubits are usually protected by the excitation gap. Yet, manipulations performed at a finite pace can introduce both decoherence and renormalization effects. Though exponentially small for slow manipulations, these effects are important as they may constitute the ultimate decoherence mechanism. Moreover, as adiabatic topological manipulations fail to produce a universal set of quantum gates, non-adiabatic manipulations might be necessary to perform quantum computation.

14 pages, 5 figures

References in corpus (11)

• Non-Abelian Anyons and Topological Quantum Computation
• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Majorana qubit decoherence by quasiparticle poisoning
• Splitting of Majorana modes due to intervortex tunneling in a p + ip superconductor
• Universal quantum computation on a semiconductor quantum wire network
• Correlations between Majorana fermions through a superconductor
• Decoherence of Majorana qubits by noisy gates
• Geometrical spin dephasing in quantum dots
• Majorana states in inhomogeneous spin ladders
• Tunable coupling of qubits: nonadiabatic corrections

Cited by in corpus (67)

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• How to infer non-Abelian statistics and topological invariants from tunneling conductance properties of realistic Majorana nanowires
• Fate of Majorana fermions and Chern numbers after a quantum quench
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• Optimal Control of Majorana Zero Modes
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• Braiding Majorana zero modes using quantum dots
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• Classification of engineered topological superconductors
• Non-Abelian Braiding of Chiral Majorana Fermions by Quantum Dots
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• Majoranas in Noisy Kitaev Wires
• Time scales for Majorana manipulation using Coulomb blockade in gate-controlled superconducting nanowires
• Exact master equation and decoherence dynamics of Majorana zero modes under the gate-induced charge fluctuation
• Topological Quantum Computing Using Nanowire Devices
• Parity-to-charge conversion for readout of topological Majorana qubits
• 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
• Degeneracy lifting of Majorana bound states due to electron-phonon interactions
• Effects of disorder on Coulomb-assisted braiding of Majorana zero modes
• Protocol Discovery for the Quantum Control of Majoranas by Differentiable Programming and Natural Evolution Strategies
• Error generation and propagation in Majorana-based topological qubits
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• $AbInitio$ Simulation of Non-Abelian Braiding Statistics in Topological Superconductors
• Majorana zero modes in Y-shape interacting Kitaev wires
• Many-body Majorana braiding without an exponential Hilbert space
• Diabatic errors in Majorana braiding with bosonic bath
• Majorana quasiparticles in atomic spin chains on superconductors
• Effects of decoherence on diabatic errors in Majorana braiding
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• Demonstrating Majorana non-Abelian properties using fast adiabatic charge-transfer
• Manipulation of Majorana Kramers Qubit and its Tolerance in Time-Reversal-Invariant Topological Superconductor
• Exact zero modes and decoherence in systems of interacting Majorana fermions
• Out of Equilibrium Majoranas in Interacting Kitaev Chains
• Microwave detection of gliding Majorana zero modes in nanowires
• Decoherence dynamics of Majorana qubits under braiding operations
• Characterizing Dynamic Majorana Hybridization for Universal Quantum Computing
• Minimal circuit for a flux-controlled Majorana qubit in a quantum spin-Hall insulator
• Holonomic implementation of CNOT gate on topological Majorana qubits
• Dephasing of Majorana qubits due to quasistatic disorder
• Constrained thermalisation and topological superconductivity
• Transport probe of nonadiabatic transition caused by Majorana moving
• Implementation of single-qubit gates via parametric modulation in the Majorana transmon
• Realizing Universal Majorana Fermionic Quantum Computation
• Multi-particle interferometry in the time-energy domain with localized topological quasiparticles
• Bath-induced decoherence in finite-size Majorana wires at non-zero temperature
• Dynamical Phase Error in Interacting Topological Quantum Memories
• Transport of Majorana Bound State in the presence of telegraph noise
• Transport and fusion of Majorana zero modes in the presence of nonadiabatic transitions
• Rotating Majorana Zero Modes in a disk geometry
• Shuttling Majorana zero modes in disordered and noisy topological superconductors
• Majorana braiding simulations with projective measurements
• Compatibility of Braiding and Fusion on Wire Networks
• Exchangeless braiding of Majorana zero modes in weakly coupled Kitaev chains
• Analytical classification of Majorana zero-mode spatial profiles in extended Kitaev chains: probability maxima can shift inward
• Probing nontrivial fusion of Majorana zero modes via near-adiabatic coupling
• Extending the planar theory of anyons to quantum wire networks
• Braiding with Majorana lattices: Groundstate degeneracy and supersymmetry