Topological gap protocol based machine learning optimization of Majorana hybrid wires

Abstract

Majorana zero modes in superconductor-nanowire hybrid structures are a promising candidate for topologically protected qubits with the potential to be used in scalable structures. Currently, disorder in such Majorana wires is a major challenge, as it can destroy the topological phase and thus reduce the yield in the fabrication of Majorana devices. We study machine learning optimization of a gate array in proximity to a grounded Majorana wire, which allows us to reliably compensate even strong disorder. We propose a metric for optimization that is inspired by the topological gap protocol, and which can be implemented based on measurements of the non-local conductance through the wire.

arXiv comment13 pages, 11 figures

References in corpus (88)

• Supplementary information for "Quantum supremacy using a programmable superconducting processor"
• Unpaired Majorana fermions in quantum wires
• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• Quantum Computing
• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Helical liquids and Majorana bound states in quantum wires
• Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
• Non-Abelian statistics and topological quantum information processing in 1D wire networks
• Observation of Majorana Fermions in a Nb-InSb Nanowire-Nb Hybrid Quantum Device
• Kwant: a software package for quantum transport
• Observation of the fractional ac Josephson effect: the signature of Majorana particles
• Majorana Zero Modes and Topological Quantum Computation
• Exponential Protection of Zero Modes in Majorana Islands
• Realizing Majorana zero modes in superconductor-semiconductor heterostructures
• Scalable Designs for Quasiparticle-Poisoning-Protected Topological Quantum Computation with Majorana Zero Modes
• Interfacing spin qubits in quantum dots and donors - hot, dense and coherent
• Milestones toward Majorana-based quantum computing
• Non-Abelian quantum order in spin-orbit-coupled semiconductors: The search for topological Majorana particles in solid state systems
• Zero-bias peaks in spin-orbit coupled superconducting wires with and without Majorana end-states
• From Andreev to Majorana bound states in hybrid superconductor-semiconductor nanowires
• Scaling of Majorana Zero-Bias Conductance Peaks
• Andreev bound states versus Majorana bound states in quantum dot-nanowire-superconductor hybrid structures: Trivial versus topological zero-bias conductance peaks
• Prospects for Spin-Based Quantum Computing
• Evidence of topological superconductivity in planar Josephson junctions
• Electron Teleportation via Majorana Bound States in a Mesoscopic Superconductor
• Near-zero-energy end states in topologically trivial spin-orbit coupled superconducting nanowires with a smooth confinement
• Transport spectroscopy of NS nanowire junctions with Majorana fermions
• Towards a realistic transport modeling in a superconducting nanowire with Majorana fermions
• Flux-controlled quantum computation with Majorana fermions
• Quantized conductance at the Majorana phase transition in a disordered superconducting wire
• Zero-voltage conductance peak from weak antilocalization in a Majorana nanowire
• Class D spectral peak in Majorana quantum wires
• Majorana bound states from exceptional points in non-topological superconductors
• Reproducing topological properties with quasi-Majorana states
• Physical mechanisms for zero-bias conductance peaks in Majorana nanowires
• Ballistic superconductivity in semiconductor nanowires
• InAs-Al Hybrid Devices Passing the Topological Gap Protocol
• Experimental Phase Diagram of a One-Dimensional Topological Superconductor
• Quantized zero bias conductance plateau in semiconductor-superconductor heterostructures without non-Abelian Majorana zero modes
• SNS junctions in nanowires with spin-orbit coupling: role of confinement and helicity on the sub-gap spectrum
• Flux-induced Majorana modes in full-shell nanowires
• Topological superconductivity in full shell proximitized nanowires
• Flux-induced topological superconductivity in full-shell nanowires
• Transition from fractional to Majorana fermions in Rashba nanowires
• Non-Majorana states yield nearly quantized conductance in superconductor-semiconductor nanowire devices
• Braiding without Braiding: Teleportation-Based Quantum Information Processing with Majorana Zero Modes
• Disorder-induced zero-bias peaks in Majorana nanowires
• Soft Superconducting Gap in Semiconductor Majorana Nanowires
• Non-Hermitian topology: a unifying framework for the Andreev versus Majorana states controversy
• Ubiquitous non-Majorana Zero-Bias Conductance Peaks in Nanowire Devices
• Nontopological zero-bias peaks in full-shell nanowires induced by flux tunable Andreev states
• Phase signature of topological transition in Josephson Junctions
• Supercurrent detection of topologically trivial zero-energy states in nanowire junctions
• Majorana fermion exchange in quasi-one-dimensional networks
• Zero-field Topological Superconductivity in Ferromagnetic Hybrid Nanowires
• Towards high mobility InSb nanowire devices
• Estimating disorder and its adverse effects in semiconductor Majorana nanowires
• Machine Learning techniques for state recognition and auto-tuning in quantum dots
• Nonlocal conductance spectroscopy of Andreev bound states: Symmetry relations and BCS charges
• Quantifying wave-function overlaps in inhomogeneous Majorana nanowires
• Machine learning enables completely automatic tuning of a quantum device faster than human experts
• Zero-energy pinning of topologically-trivial bound states in multi-band semiconductor-superconductor nanowires
• Distinguishing Majorana bound states from localized Andreev bound states by interferometry
• Automated tuning of double quantum dots into specific charge states using neural networks
• Computer-automated tuning of semiconductor double quantum dots into the single-electron regime
• Coherent transport through a Majorana island in an Aharonov-Bohm interferometer
• Fractional Josephson Effect with and without Majorana Zero Modes
• Efficiently measuring a quantum device using machine learning
• Computer-automated tuning procedures for semiconductor quantum dot arrays
• Signatures of a topological phase transition in a planar Josephson junction
• Trivial Andreev band mimicking topological bulk gap reopening in the non-local conductance of long Rashba nanowires
• Tuning methods for semiconductor spin--qubits
• Simultaneous Operations in a Two-Dimensional Array of Singlet-Triplet Qubits
• A Machine Learning Approach for Automated Fine-Tuning of Semiconductor Spin Qubits
• Electrical control of Majorana Bound States Using Magnetic Stripes
• Partially-separated Majorana modes in a disordered medium
• Spectral properties, topological patches, and effective phase diagrams of finite disordered Majorana nanowires
• Quantum device fine-tuning using unsupervised embedding learning
• Pinning of Andreev bound states to zero energy in two-dimensional superconductor-semiconductor Rashba heterostructures
• Mitigating disorder-induced zero-energy states in weakly-coupled semiconductor-superconductor hybrid systems
• Optimized micromagnet geometries for Majorana zero modes in low g-factor materials
• Robust topological superconductivity in weakly coupled nanowire-superconductor hybrid structures
• Majorana bound state engineering via efficient real-space parameter optimization
• Bridging the reality gap in quantum devices with physics-aware machine learning
• Machine learning optimization of Majorana hybrid nanowires
• Greedy optimization of the geometry of Majorana Josephson junctions
• Transmission Amplitude through a Coulomb blockaded Majorana Wire
• Compressed Optimization of Device Architectures (CODA) for semiconductor quantum devices

Cited by in corpus (5)

• Theory of Majorana zero modes in unconventional superconductors
• Spin-resolved nonlocal transport in proximitized Rashba nanowires
• Automated in situ optimization and disorder mitigation in a quantum device
• AI-enhanced tuning of quantum dot Hamiltonians toward Majorana modes
• Mitigating disorder and optimizing topological indicators with vision-transformer-based neural networks in Majorana nanowires