Building topological quantum circuits: Majorana nanowire junctions

Abstract

Topological quantum computation using non-Abelian Majorana zero modes localized in proximitized semiconductor nanowires requires careful electrostatic control of wire-junctions so as to manipulate and braid the zero modes enabling anyonic fault-tolerant gate operations. We theoretically investigate the topological superconducting properties of such elementary wire-junctions, the so-called T junctions, finding that the existence of the junction may nonperturbatively affect the Majorana behavior by introducing spurious non-topological subgap states mimicking zero-modes. We propose a possible solution to this potentially serious problem by showing that junctions made lithographically from two-dimensional (2D) electron gas systems may manifest robust subgap topological properties without any spurious zero modes. We propose a 2D structure that enables multiprobe tunneling experiments providing position-dependent spectroscopy, which can decisively settle outstanding open questions related to the origin of the zero-bias conductance peaks observed experimentally. We also find that junctions with trivial superconductors may result in local perturbations that induce extrinsic low-energy states similar to those associated with wire junctions.

arXiv commentPublished version, 8 pages, 9 figures

References in corpus (28)

• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Helical liquids and Majorana bound states in quantum wires
• A generic new platform for topological quantum computation using semiconductor heterostructures
• Non-Abelian statistics and topological quantum information processing in 1D wire networks
• Majorana bound states in a coupled quantum-dot hybrid-nanowire system
• Scalable Designs for Quasiparticle-Poisoning-Protected Topological Quantum Computation with Majorana Zero Modes
• Spin-resolved Andreev levels and parity crossings in hybrid superconductor-semiconductor nanostructures
• 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
• Majorana Fermions in Semiconductor Nanowires: Fundamentals, Modeling, and Experiment
• 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
• Majorana Fermions in Semiconductor Nanowires
• Near-zero-energy end states in topologically trivial spin-orbit coupled superconducting nanowires with a smooth confinement
• A Majorana smoking gun for the superconductor-semiconductor hybrid topological system
• Majorana box qubits
• Search for Majorana fermions in multiband semiconducting nanowires
• Topological Superconductivity in a Planar Josephson Junction
• Epitaxy of Advanced Nanowire Quantum Devices
• Two-dimensional platform for networks of Majorana bound states
• Zero-Energy Modes from Coalescing Andreev States in a Two-Dimensional Semiconductor-Superconductor Hybrid Platform
• Ballistic superconductivity in semiconductor nanowires
• Controlling non-Abelian statistics of Majorana fermions on Majorana dimer lattices
• Fermionic and Majorana Bound States in Hybrid Nanowires with Non-Uniform Spin-Orbit Interaction
• Combining Topological Hardware and Topological Software: Color Code Quantum Computing with Topological Superconductor Networks
• To close or not to close: the fate of the superconducting gap across the topological quantum phase transition in Majorana-carrying semiconductor nanowires
• Coupling and braiding Majorana bound states in networks defined in proximitized two-dimensional electron gases
• Extended Majorana zero modes in a topological superconducting-normal T-junction

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• Next steps of quantum transport in Majorana nanowire devices
• Effective theory approach to the Schrodinger-Poisson problem in semiconductor Majorana devices
• Zero-energy pinning of topologically-trivial bound states in multi-band semiconductor-superconductor nanowires
• Presence versus absence of end-to-end nonlocal conductance correlations in Majorana nanowires: Majorana bound states versus Andreev bound states
• Floquet Majorana zero and $\pi$ modes in planar Josephson junctions
• Topological Quantum Computing Using Nanowire Devices
• Boundary Green's function approach for spinful single-channel and multichannel Majorana nanowires
• Long-range Kitaev Chains via Planar Josephson Junctions
• Electrically tunable chiral Majorana edge modes in quantum anomalous Hall insulator-topological superconductor systems
• Quasiparticle gaps in multiprobe Majorana nanowires
• Topological Kondo Device for distinguishing Quasi-Majorana and Majorana signatures
• Majorana-like localized spin density without bound states in topologically trivial spin-orbit coupled nanowires
• Transport Signatures of a Majorana Qubit and Read-out-induced Dephasing
• Delocalisation of Majorana quasiparticles in plaquette--nanowire hybrid system
• Effects of Peierls phases in open linear chains
• Unified scattering approach to Josephson current and thermal noise in BCS and topological superconducting junctions
• Confinement versus interface bound states in spin-orbit coupled nanowires
• Tight-Binding Energy-Phase Calculation for Topological Josephson Junction Nanowire Architecture
• Current cross-correlation spectroscopy of Majorana bound states
• Nonlocal signatures of hybridization between quantum dot and Andreev bound states