Transport of Majorana Bound State in the presence of telegraph noise
arXiv:2412.05869 · doi:10.1103/lr2b-nmrk
Abstract
Majorana Bound States (MBS) have emerged as promising candidates for robust quantum computing due to their non-Abelian statistics and topological protection. In this study, we focus on the dynamical transport of MBS in the semiconductor-superconductor (SM-SC) heterostructure via the piano key-type setup, wherein each of the keys of the wire can be tuned from topological to trivial phases. We focus on the transport of MBS under noisy conditions and evaluate the feasibility for realistic scenarios. The central emphasis of our work lies in using both numerical and analytical techniques to understand the effect of noise in inducing diabatic errors during transport and to establish scaling laws that relate these errors to the drive time. To achieve this, we derive an effective model that captures the scaling behavior in both noise-free and noisy scenarios, providing a unified framework for analyzing the transport dynamics. We investigate the optimal number of keys for both noisy and noiseless scenarios. Additionally, we explore the effects of disorder on transport dynamics, highlighting its impact on error scaling and robustness.
14 pages, 13 figures
References in corpus (26)
- Non-Abelian Anyons and Topological Quantum Computation
- Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
- Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
- Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
- Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
- Proximity effect at the superconductor - topological insulator interface
- Shortcuts to nonabelian braiding
- Optimal Control of Majorana Zero Modes
- Quench dynamics and parity blocking in Majorana wires
- Fusion protocol for Majorana modes in coupled quantum dots
- Adiabatic electron charge transfer between two quantum dots in presence of 1/f noise
- Braiding-based quantum control of a Majorana qubit built from quantum dots
- Pinning of Andreev bound states to zero energy in two-dimensional superconductor-semiconductor Rashba heterostructures
- Protocol Discovery for the Quantum Control of Majoranas by Differentiable Programming and Natural Evolution Strategies
- Many-body Majorana braiding without an exponential Hilbert space
- majoranas to dynamically engineer Hamiltonians
- From perfect to imperfect poor man's Majoranas in minimal Kitaev chains
- Suppression of the Landau-Zener transition probability by a weak classical noise
- Effects of decoherence on diabatic errors in Majorana braiding
- Majorana bound states in germanium Josephson junctions via phase control
- Optimizing the transport of Majorana zero modes in one-dimensional topological superconductors
- Effect of topological length on Bound states signatures in a Topological nanowire
- Nonlocality of local Andreev conductances as a probe for topological Majorana wires
- Dynamical approach to improving Majorana qubits and distinguishing them from trivial bound states
- Transport probe of nonadiabatic transition caused by Majorana moving
- Transport and fusion of Majorana zero modes in the presence of nonadiabatic transitions