Majorana nanowires for topological quantum computation

Abstract

Majorana bound states are quasiparticle excitations localized at the boundaries of a topologically nontrivial superconductor. They are zero-energy, charge-neutral, particle-hole symmetric, and spatially-separated end modes which are topologically protected by the particle-hole symmetry of the superconducting state. Due to their topological nature, they are robust against local perturbations and, in an ideal environment, free from decoherence. Furthermore, unlike ordinary fermions and bosons, the adiabatic exchange of Majorana modes is noncommutative, i.e., the outcome of exchanging two or more Majorana modes depends on the order in which exchanges are performed. These properties make them ideal candidates for the realization of topological quantum computers. In this tutorial, I will present a pedagogical review of 1D topological superconductors and Majorana modes in quantum nanowires. I will give an overview of the Kitaev model and the more realistic Oreg-Lutchyn model, discuss the experimental signatures of Majorana modes, and highlight their relevance in the field of topological quantum computation. This tutorial may serve as a pedagogical and relatively self-contained introduction for graduate students and researchers new to the field, as well as an overview of the current state-of-the-art of the field and a reference guide to specialists.

58 pages, 17 figures, accepted version with references and figures updated

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• Zero-voltage conductance peak from weak antilocalization in a Majorana nanowire
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• Topological invariants for spin-orbit coupled superconductor nanowires
• Random-matrix theory of Majorana fermions and topological superconductors
• Distinguishing a Majorana zero mode using spin resolved measurements
• Quantum Computation Using Vortices and Majorana Zero Modes of a $p_x$ + $i{p}_y$ Superfluid of Fermionic Cold Atoms
• Class D spectral peak in Majorana quantum wires
• Majorana box qubits
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• Time Reversal Invariant Topological Superconductivity and Majorana Kramers Pairs
• Majorana Fermions in Proximity-coupled Topological Insulator Nanowires
• Topological odd-parity superconductors
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• Two-dimensional platform for networks of Majorana bound states
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• High-resolution studies of the Majorana atomic chain platform
• AC Josephson effect in finite-length nanowire junctions with Majorana modes
• Reproducing topological properties with quasi-Majorana states
• Kitaev chains with long-range pairing
• Superconducting Proximity Effect on the Edge of Fractional Topological Insulators
• A Short Introduction to Topological Quantum Computation
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• Physical mechanisms for zero-bias conductance peaks in Majorana nanowires
• Measuring Majorana non-locality and spin structure with a quantum dot
• Proximity effect at the superconductor - topological insulator interface
• Two terminal charge tunneling: Disentangling Majorana zero modes from partially separated Andreev bound states in semiconductor-superconductor heterostructures
• Majorana bound states in non-homogeneous semiconductor nanowires
• Controlling non-Abelian statistics of Majorana fermions on Majorana dimer lattices
• Spin-selective Peierls transition in interacting one-dimensional conductors with spin-orbit interaction
• Topological Kondo effect with Majorana fermions
• InAs-Al Hybrid Devices Passing the Topological Gap Protocol
• Topological superconductivity in bilayer Rashba system
• Parity qubits and poor man's Majorana bound states in double quantum dots
• Composite Majorana Fermion Wavefunctions in Nanowires
• Engineering a p+ip Superconductor: Comparison of Topological Insulator and Rashba Spin-Orbit Coupled Materials
• Experimental Phase Diagram of a One-Dimensional Topological Superconductor
• Majorana Kramers pairs in higher-order topological insulators
• Scattering formula for the topological quantum number of a disordered multi-mode wire
• Parity lifetime of bound states in a proximitized semiconductor nanowire
• Majorana fermions in superconducting nanowires without spin-orbit coupling
• Quantized zero bias conductance plateau in semiconductor-superconductor heterostructures without non-Abelian Majorana zero modes
• Charge detection enables free-electron quantum computation
• 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
• Flux-induced topological superconductivity in full-shell nanowires
• Topological superconductivity in full shell proximitized nanowires
• Scattering theory of topological insulators and superconductors
• Subtle leakage of a Majorana mode into a quantum dot
• Majorana zero modes in a quantum Ising chain with longer-ranged interactions
• Geometric phases and quantum entanglement as building blocks for nonabelian quasiparticle statistics
• Probability distribution of Majorana end-state energies in disordered wires
• Next steps of quantum transport in Majorana nanowire devices
• Topological superconducting phases in disordered quantum wires with strong spin-orbit coupling
• Observation of a Majorana zero mode in a topologically protected edge channel
• Strong tuning of Rashba spin orbit interaction in single InAs nanowires
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• Unconventional Josephson signatures of Majorana bound states
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• Braiding without Braiding: Teleportation-Based Quantum Information Processing with Majorana Zero Modes
• Disorder-induced zero-bias peaks in Majorana nanowires
• Universal transport signatures of Majorana fermions in superconductor-Luttinger liquid junctions
• Josephson radiation from gapless Andreev bound states in HgTe-based topological junctions
• Exact ground states and topological order in interacting Kitaev/Majorana chains
• Selective Equal-Spin Andreev Reflections Induced by Majorana Fermions
• Emergent Supersymmetry from Strongly Interacting Majorana Zero Modes
• Inducing time reversal invariant topological superconductivity and fermion parity pumping in quantum wires
• Strong localization of Majorana end states in chains of magnetic adatoms
• Majorana Kramers Doublets in $d_{x^2-y^2}$-wave Superconductors with Rashba Spin-Orbit Coupling
• Dynamical detection of Majorana fermions in current-biased nanowires
• Spin-orbit interaction in InSb nanowires
• Majorana fermions in superconducting helical magnets
• Opportunities in topological insulator devices
• Majorana Fermions and Non-Abelian Statistics in Three Dimensions
• Top-transmon: hybrid superconducting qubit for parity-protected quantum computation
• Signature of a pair of Majorana zero modes in superconducting gold surface states
• Unconventional topological phase transitions in helical Shiba chains
• Interplay of disorder and interaction in Majorana quantum wires
• Andreev reflection from non-centrosymmetric superconductors and Majorana bound state generation in half-metallic ferromagnets
• Non-Hermitian topology: a unifying framework for the Andreev versus Majorana states controversy
• Ubiquitous non-Majorana Zero-Bias Conductance Peaks in Nanowire Devices
• Towards realistic implementations of a Majorana surface code
• Majorana End-States in Multi-band Microstructures with Rashba Spin-Orbit Coupling
• Failure of protection of Majorana based qubits against decoherence
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• Scheme to measure Majorana fermion lifetimes using a quantum dot
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• Hard superconducting gap in InSb nanowires
• Phase signature of topological transition in Josephson Junctions
• Observation of the 4$\pi$-periodic Josephson effect in indium arsenide nanowires
• Topological superconductivity and Majorana fermions in half-metal / superconductor heterostructure
• Topological Yu-Shiba-Rusinov chain from spin-orbit coupling
• Enhanced zero-bias Majorana peak in disordered multi-subband quantum wires
• Effects of gate-induced electric fields on semiconductor Majorana nanowires
• Roadmap to Majorana surface codes
• Topological phases: Classification of topological insulators and superconductors of non-interacting Fermions, and beyond
• Topological insulator and the Dirac equation
• Experimental and materials considerations for the topological superconducting state in electron and hole doped semiconductors: searching for non-Abelian Majorana modes in 1D nanowires and 2D heterostructures
• Supercurrent detection of topologically trivial zero-energy states in nanowire junctions
• Search for non-Abelian Majorana braiding statistics in superconductors
• Universal quantum computation on a semiconductor quantum wire network
• Quantum information transfer between topological and spin qubit systems
• Adaptive tuning of Majorana fermions in a quantum dot chain
• Evidence of topological Shiba bands in artificial spin chains on superconductors
• Coulomb stability of the 4π-periodic Josephson effect of Majorana fermions
• Kramers Pairs of Majorana Fermions and Parafermions in Fractional Topological Insulators
• Majorana fermions from Shiba states in an antiferromagnetic chain on top of a superconductor
• Decaying spectral oscillations in a Majorana wire with finite coherence length
• Majorana Fermions: The race continues
• Topological Massive Dirac Edge Modes and Long-Range Superconducting Hamiltonians
• Majorana bound states and non-local spin correlations in a quantum wire on an unconventional superconductor
• Majorana splitting from critical currents in Josephson junctions
• Hybridization at superconductor-semiconductor interfaces
• A road to reality with topological superconductors
• Controlled length-dependent interaction of Majorana modes in Yu-Shiba-Rusinov chains
• Decay rates for topological memories encoded with Majorana fermions
• Helical order in one-dimensional magnetic atom chains and possible emergence of Majorana bound states
• Majorana fermion exchange in quasi-one-dimensional networks
• Phase Diagram of the Interacting Majorana Chain Model
• Approximating the Sachdev-Ye-Kitaev model with Majorana wires
• Zero-field Topological Superconductivity in Ferromagnetic Hybrid Nanowires
• Transport signatures of quasiparticle poisoning in a Majorana island
• Topological quantum buses: coherent quantum information transfer between topological and conventional qubits
• Dynamics of Majorana States in a Topological Josephson Junction
• Majorana Fermion Surface Code for Universal Quantum Computation
• Zero bias conductance peak in Majorana wires made of semiconductor-superconductor hybrid structures
• Electric-Field Induced Majorana Fermions in Armchair Carbon Nanotubes
• Universal Quantum Computation with Hybrid Spin-Majorana Qubits
• Conductance Quantization at zero magnetic field in InSb nanowires
• Distinguishing topological Majorana bound states from trivial Andreev bound states: Proposed tests through differential tunneling conductance spectroscopy
• Multi-Terminal Coulomb-Majorana Junction
• Multiple Andreev reflection and critical current in topological superconducting nanowire junctions
• Parafermions in Interacting Nanowire Bundle
• Time-Reversal Invariant Topological Superconductivity Induced by Repulsive Interactions in Quantum Wires
• Signatures of Majorana Zero Modes in Spin-Resolved Current Correlations
• Majorana bound states in two-channel time-reversal-symmetric nanowire systems
• Interface Between Topological and Superconducting Qubits
• Conductance-matrix symmetries of a three-terminal hybrid device
• Synthetic spin orbit interaction for Majorana devices
• Anomalous Josephson current via Majorana bound states in topological insulators
• Phenomenology and Dynamics of Majorana Josephson Junction
• Stability of Majorana Fermions in Proximity-Coupled Topological Insulator Nanowires
• Conductance through a helical state in an InSb nanowire
• Conductance of a proximitized nanowire in the Coulomb blockade regime
• Extended Kitaev chain with longer-range hopping and pairing
• Black hole on a chip: proposal for a physical realization of the SYK model in a solid-state system
• On controlling the bound states in quantum-dot hybrid-nanowire
• An experimentally accessible quality factor for Majorana wires
• Strongly interacting Majorana modes in an array of Josephson junctions
• Electric field tunable superconductor-semiconductor coupling in Majorana nanowires
• Topological Order and Non-Abelian Statistics in Noncentrosymmetric s-Wave Superconductors
• Nonlocal conductance spectroscopy of Andreev bound states: Symmetry relations and BCS charges
• Majorana single-charge transistor
• Non-adiabatic Effects in the Braiding of Non-Abelian Anyons in Topological Superconductors
• Coulomb blockade of Majorana fermion induced transport
• Tunneling spectra simulation of interacting Majorana wires
• Effective theory approach to the Schrodinger-Poisson problem in semiconductor Majorana devices
• Interacting topological phases in multiband nanowires
• Quantifying wave-function overlaps in inhomogeneous Majorana nanowires
• Quantum Entanglement of the Sachdev-Ye-Kitaev Models
• Quantizing Majorana Fermions in a Superconductor
• Giant spin orbit interaction due to rotating magnetic fields in graphene nanoribbons
• Measurement-Only Topological Quantum Computation via Anyonic Interferometry
• Effective g-factor in Majorana Wires
• Topological Superconductivity and Majorana Fermions in Metallic Surface-States
• Three-terminal nonlocal conductance in Majorana nanowires: Distinguishing topological and trivial in realistic systems with disorder and inhomogeneous potential
• Spin-orbit coupling and phase-coherence in InAs nanowires
• Manipulating Majorana fermions using supercurrents
• Majorana zero modes on a necklace
• Topologically trivial zero bias conductance peak in semiconductor Majorana wires from boundary effects
• Topological order in the Kitaev/Majorana chain in the presence of disorder and interactions
• Mutation of Andreev into Majorana bound states in long NS and SNS junctions
• Non-adiabatic processes in Majorana qubit systems
• Spin-Orbit Protection of Induced Superconductivity in Majorana Nanowires
• Topological Protection of Majorana Qubits
• All Majorana Models with Translation Symmetry are Supersymmetric
• Multi-channel Kondo impurity dynamics in a Majorana device
• Orbital effect of magnetic field on the Majorana phase diagram
• Majorana Zero Modes in Graphene
• Self-Organized Topological Superconductivity in a Yu-Shiba-Rusinov Chain
• On Universal and Fault-Tolerant Quantum Computing
• Parity independence of the zero-bias conductance peak in a nanowire based topological superconductor-quantum dot hybrid device
• Robustness of Majorana Fermion induced Fractional Josephson Effect
• Dephasing of Majorana-based qubits
• Majorana wavefunction oscillations, fermion parity switches, and disorder in Kitaev chains
• Proximity-induced Josephson $\pi$-Junctions in Topological Insulators
• Generic quantized zero-bias conductance peaks in superconductor-semiconductor hybrid structures
• Signatures of topological Josephson junctions
• From Majorana Fermions to Topological Order
• A perspective on semiconductor-based superconducting qubits
• Magnetotransport properties of individual InAs nanowires
• Semiconductor - Ferromagnetic Insulator - Superconductor Nanowires: Stray Field and Exchange Field
• How quickly can anyons be braided? Or: How I learned to stop worrying about diabatic errors and love the anyon
• Decoherence of Majorana qubits by noisy gates
• Zero-energy pinning of topologically-trivial bound states in multi-band semiconductor-superconductor nanowires
• Wireless Majorana Bound States: From Magnetic Tunability to Braiding
• Proposal for the detection and braiding of Majorana fermions in a quantum spin Hall insulator
• Majorana braiding with thermal noise
• Shadow-wall lithography of ballistic superconductor-semiconductor quantum devices
• Simulating the exchange of Majorana zero modes with a photonic system
• Josephson junction dynamics in the presence of $2\pi$- and $4\pi$-periodic supercurrents
• Majorana fermions in ferromagnetic chains on the surface of bulk spin-orbit coupled $s$-wave superconductors
• Effects of the electrostatic environment on the Majorana nanowire devices
• Robust low-energy Andreev bound states in semiconductor-superconductor heterostructures: Importance of partial separation of component Majorana bound states
• A geometric protocol for a robust Majorana magic gate
• Tunability of microwave transitions as a signature of coherent parity mixing effects in the Majorana-Transmon qubit
• Quantum Computing with Majorana Fermion Codes
• Local and non-local quantum transport due to Andreev bound states in finite Rashba nanowires with superconducting and normal sections
• Combining Topological Hardware and Topological Software: Color Code Quantum Computing with Topological Superconductor Networks
• Shortcuts to nonabelian braiding
• Fano Resonances in Majorana Bound States - Quantum Dot Hybrid Systems
• Topological States in a One-Dimensional Fermi Gas with Attractive Interactions
• Distinguishing Majorana bound states from localized Andreev bound states by interferometry
• Electron temperature and tunnel coupling dependence of zero-bias and almost-zero-bias conductance peaks in Majorana nanowires
• Quantum Computing with Parafermions
• Equivalent topological invariants for one-dimensional Majorana wires in symmetry class D
• Anomalous Josephson effect in semiconducting nanowires as a signature of the topologically nontrivial phase
• Majorana qubits in topological insulator nanoribbon architecture
• Parity transitions in the superconducting ground state of hybrid InSb-Al Coulomb islands
• Boosting Majorana zero modes
• Isolated pairs of Majorana zero modes in a disordered superconducting lead monolayer
• Effects of large induced superconducting gap on semiconductor Majorana nanowires
• Implementing arbitrary phase gates with Ising anyons
• Andreev spectrum and supercurrents in nanowire-based SNS junctions containing Majorana bound states
• Helical States in Curved Bilayer Graphene
• Interplay between Kondo and Majorana interactions in quantum dots
• Exploring Topological Superconductivity in Topological Materials
• Fusion of Majorana Bound States with Mini-Gate Control in Two-Dimensional Systems
• Proximity effect and Majorana bound states in clean semiconductor nanowires coupled to disordered superconductors
• Ac Josephson Effect in Topological Josephson Junctions
• Proximity-induced low-energy renormalization in hybrid semiconductor-superconductor Majorana structures
• Zero-energy pinning from interactions in Majorana nanowires
• Majorana Braiding Dynamics on Nanowires
• To close or not to close: the fate of the superconducting gap across the topological quantum phase transition in Majorana-carrying semiconductor nanowires
• Quantized and unquantized zero-bias tunneling conductance peaks in Majorana nanowires: Conductance below and above $2e^2/h$
• Projective Ribbon Permutation Statistics: a Remnant of non-Abelian Braiding in Higher Dimensions
• Topological minigap in quasi-one-dimensional spin-orbit-coupled semiconductor Majorana wires
• Microwave signatures of Majorana states in a topological Josephson junction
• Conductance of a superconducting Coulomb blockaded Majorana nanowire
• Measurement-Only Topological Quantum Computation via Tunable Interactions
• Dimensional crossover in spin-orbit-coupled semiconductor nanowires with induced superconducting pairing
• Energy gap measurement of nanostructured thin aluminium films for use in single Cooper-pair devices
• Topological phases in gapped edges of fractionalized systems
• Hybrid Double Quantum Dots: Normal, Superconducting, and Topological Regimes
• Spin and Charge Signatures of Topological Superconductivity in Rashba Nanowires
• Coherent transport through a Majorana island in an Aharonov-Bohm interferometer
• Quasi-Topological Phases of Matter and Topological Protection
• Enhanced proximity effect in zigzag-shaped Majorana Josephson junctions
• Majorana Fermions in Magnetic Chains
• Magnetic-field instability of Majorana modes in multiband quantum wires
• Signatures of topological phase transitions in mesoscopic superconducting rings
• Readout of Majorana Qubits
• Fractional Josephson Effect with and without Majorana Zero Modes
• Magnetically-driven colossal supercurrent enhancement in InAs nanowire Josephson junctions
• Closing of the Induced Gap in a Hybrid Superconductor-Semiconductor Nanowire
• Mapping the Topological Phase Diagram of Multiband Semiconductors with Supercurrents
• Robust Majorana conductance peaks for a superconducting lead
• Tunable magnetic textures in spin valves: From spintronics to Majorana bound states
• Topological Phase Detection in Rashba Nanowires with a Quantum Dot
• Optimal Control of Majorana Zero Modes
• Majorana bound states in semiconducting nanostructures
• Fractionalization in Superconductor Josephson Junction Arrays Hinged by Quantum Spin Hall edges
• Approaching a topological phase transition in Majorana nanowires
• Distinguishing trivial and topological zero energy states in long nanowire junctions
• Exact eigenvectors and eigenvalues of the finite Kitaev chain and its topological properties
• Conductance fingerprint of Majorana fermions in the topological Kondo effect
• Fractional Josephson Vortices and Braiding of Majorana Zero Modes in Planar Superconductor-Semiconductor Heterostructures
• Benefits of weak disorder in one dimensional topological superconductors
• Controlled-NOT for multiparticle qubits and topological quantum computation based on parity measurements
• Phase Control of Majorana Bound States in a Topological X Junction
• Parity-controlled $2\pi$ Josephson effect mediated by Majorana Kramers pairs
• Dynamics of Majorana-based qubits operated with an array of tunable gates
• End-to-end correlated subgap states in hybrid nanowires
• Realizing one-dimensional topological superfluids with ultracold atomic gases
• Majorana Superconducting Qubit
• Topological superconductivity in planar Josephson junctions: Narrowing down to the nanowire limit
• Photon Assisted Tunneling of Zero Modes in a Majorana Wire
• Presence versus absence of end-to-end nonlocal conductance correlations in Majorana nanowires: Majorana bound states versus Andreev bound states
• Tunable Magnetic Textures: From Majorana Bound States to Braiding
• Magnetic field independent sub-gap states in hybrid Rashba nanowires
• AC Josephson effect and resonant Cooper pair tunneling emission of a Cooper Pair Transistor
• Braiding errors in interacting Majorana quantum wires
• Decays of Majorana or Andreev oscillations induced by steplike spin-orbit coupling
• Emerging Dirac and Majorana fermions for carbon nanotubes with proximity-induced pairing and spiral magnetic field
• Random-matrix theory of Andreev reflection from a topological superconductor
• Topological phases in two-dimensional arrays of parafermionic zero modes
• Coupling and braiding Majorana bound states in networks defined in proximitized two-dimensional electron gases
• Microwave spectroscopy of Josephson junctions in topological superconductors
• Interacting Majorana Fermions
• Dephasing and leakage dynamics of noisy Majorana-based qubits: Topological versus Andreev
• Crossover from Majorana edge to end states in quasi-one-dimensional p-wave superconductors
• Majorana-like Coulomb spectroscopy in the absence of zero bias peaks
• Signatures of topological phase transitions in Josephson current-phase discontinuities
• Non-Majorana modes in diluted spin chains proximitized to a superconductor
• Non-locality of zero-bias anomalies in the topologically-trivial phase of Majorana wires
• Weakly-Coupled non-Abelian Anyons in Three Dimensions
• Electrical control of Majorana Bound States Using Magnetic Stripes
• Detecting topological superconductivity using low-frequency doubled Shapiro steps
• Metamorphosis of Andreev bound states into Majorana bound states in pristine nanowires
• Majorana bound states in topological insulators without a vortex
• Majorana modes in emergent-wire phases of helical and cycloidal magnet-superconductor hybrids
• Disorder effects on Majorana zero modes: Kitaev chain versus semiconductor nanowire
• A proposal to probe quantum non-locality of Majorana fermions in tunneling experiments
• Destructive Little-Parks Effect in a Full-Shell Nanowire-based Transmon
• Interaction-induced zero-energy pinning and quantum dot formation in Majorana nanowires
• Topological superconductivity in semiconductor-superconductor-magnetic insulator heterostructures
• Tuning Rashba spin-orbit coupling in homogeneous semiconductor nanowires
• Partially-separated Majorana modes in a disordered medium
• Physical Implementation of a Majorana Fermion Surface Code for Fault-Tolerant Quantum Computation
• Skyrmion Control of Majorana States in Planar Josephson Junctions
• Exact master equation and decoherence dynamics of Majorana zero modes under the gate-induced charge fluctuation
• Dephasing-enabled triplet Andreev conductance
• Electronic properties of InAs/EuS/Al hybrid nanowires
• Disentangling Majorana fermions from conventional zero energy states in semiconductor quantum wires
• Tilting of the magnetic field in Majorana nanowires: critical angle and zero-energy differential conductance
• Enhanced topological superconductivity in spatially modulated planar Josephson junctions
• Controlling Majorana states in topologically inhomogeneous superconductors
• Supersymmetry Breaking and Nambu-Goldstone Fermions in Interacting Majorana Chains
• Protocol to identify a topological superconducting phase in a three-terminal device
• Electronic structure of full-shell InAs/Al hybrid semiconductor-superconductor nanowires: Spin-orbit coupling and topological phase space
• A topological Josephson junction platform for creating, manipulating, and braiding Majorana bound states
• Designer non-Abelian anyon platforms: from Majorana to Fibonacci
• Even-odd effect and Majorana states in full-shell nanowires
• Lifetime of Majorana qubits in Rashba nanowires with non-uniform chemical potential
• Excitations in a superconducting Coulombic energy gap
• DIII Topological Superconductivity with Emergent Time-Reversal Symmetry
• Recent progress on Majorana in semiconductor-superconductor heterostructures--Engineering and detection
• Majorana/Andreev crossover and the fate of the topological phase transition in inhomogeneous nanowires
• Tunneling conductance due to discrete spectrum of Andreev states
• Supercurrent-induced Majorana bound states in a planar geometry
• Entangling Spins in Double Quantum Dots and Majorana Bound States
• Effects of tilting the magnetic field in 1D Majorana nanowires
• Coulomb interaction effects on the Majorana states in quantum wires
• Topologically nontrivial Andreev bound states
• Chain of Majorana States from Superconducting Dirac Fermions at a Magnetic Domain Wall
• Crossover between trivial zero modes in Majorana nanowires
• Tunable proximity effects and topological superconductivity in ferromagnetic hybrid nanowires
• Electron Teleportation in Multi-Terminal Majorana Islands: Statistical Transmutation and Fractional Quantum Conductance
• Proposed Method for Distinguishing Majorana Peak from Other Peaks: Tunneling Spectroscopy with Ohmic Dissipation using Resistive Electrodes
• Degeneracy lifting of Majorana bound states due to electron-phonon interactions
• Creating Majorana modes from segmented Fermi surface
• Topological superconductivity in Rashba semiconductors without a Zeeman field
• Robust Majorana magic gates via measurements
• Differentiating Majorana from Andreev Bound States in a Superconducting Circuit
• Spin liquids from Majorana Zero Modes in a Cooper Box
• Topological superconductivity in nanowires proximate to a diffusive superconductor-magnetic insulator bilayer
• Majorana oscillations and parity crossings in semiconductor-nanowire-based transmon qubits
• Full parity phase diagram of a proximitized nanowire island
• On-demand large-conductance in trivial zero-bias tunneling peaks in Majorana nanowires
• Finite length effect on supercurrents between trivial and topological superconductors
• Modeling noise and error correction for Majorana-based quantum computing
• Conductance feature smearing and anisotropic suppression of induced superconductivity in a Majorana nanowire
• Kitaev spin models from topological nanowire networks
• Optical Responses of Chiral Majorana Edge States in Two-Dimensional Topological Superconductors
• Effects of the electrostatic environment on superlattice Majorana nanowires
• Superconducting islands with semiconductor-nanowire-based topological Josephson junctions
• Fusion rules in a Majorana single-charge transistor
• Suppressing Andreev bound state zero bias peaks using a strongly dissipative lead
• Photonic implementation of Majorana-based Berry phases
• Topological superconductivity in tripartite superconductor-ferromagnet-semiconductor nanowires
• Universal conductance scaling of Andreev reflections using a dissipative probe
• Topological Kondo Device for distinguishing Quasi-Majorana and Majorana signatures
• Feasibility of measurement-based braiding in the quasi-Majorana regime of semiconductor-superconductor heterostructures
• Majorana zero modes induced by superconducting phase bias
• Integrating micromagnets and hybrid nanowires for topological quantum computing
• Improved effective equation for the Rashba spin-orbit coupling in semiconductor nanowires
• Experimental review on Majorana zero-modes in hybrid nanowires
• Time scales for charge-transfer based operations on Majorana systems
• Signatures of the Majorana spin in electrical transport through a Majorana nanowire
• Energy spectrum and current-phase relation of a nanowire Josephson junction close to the topological transition
• Demonstrating Majorana non-Abelian properties using fast adiabatic charge-transfer
• Ubiquitous non-local entanglement with Majorana bound states
• Optimal noise-canceling shortcuts to adiabaticity: application to noisy Majorana-based gates
• Kitaev chain with a quantum dot
• Can non-local conductance spectra conclusively signal Majorana zero modes? -- Insights from von Neumann entropy
• Topological isoconductance signatures in Majorana nanowires
• Majorana bound states in encapsulated bilayer graphene
• Proposal for measuring the parity anomaly in a topological superconductor ring
• Supersymmetry in Closed Chains of Coupled Majorana Modes
• Quantum phase transitions of the Majorana toric code in the presence of finite Cooper-pair tunneling
• Bosonization for fermions and parafermions
• 1D Majorana Goldstinos and partial supersymmetry breaking in quantum wires
• Supersymmetry in the Insulating Phase of a Chain of Majorana Cooper Pair Boxes
• Superconductivity and parity preservation in as-grown In islands on InAs nanowires
• Phase diagram of a model for topological superconducting wires
• Majorana versus Andreev bound state energy oscillations in a 1D semiconductor-superconductor heterostructure
• Quantum engineering of Majorana quasiparticles in one-dimensional optical lattices
• Dispersive 1D Majorana modes with emergent supersymmetry in 1D proximitized superconductors via spatially-modulated potentials and magnetic fields
• Topological ordering in the Majorana Toric Code
• Charge response of the Majorana toric code
• Stretching the electron as far as it will go
• Signatures of Topological Transitions in the Spin Susceptibility of Josephson Junctions

Cited by in corpus (69)

• Roadmap towards Majorana qubits and nonabelian physics in quantum dot-based minimal Kitaev chains
• Theory of Majorana zero modes in unconventional superconductors
• Superconducting phenomena in systems with unconventional magnets
• Enhancing the Josephson diode effect with Majorana bound states
• Probing Majorana localization in minimal Kitaev chains through a quantum dot
• Integrating Quantum Computing Resources into Scientific HPC Ecosystems
• Minimal Kitaev-transmon qubit based on double quantum dots
• Conductance Quantization in PbTe Nanowires
• Proximity effect in PbTe-Pb hybrid nanowire Josephson junctions
• Identifying trivial and Majorana zero-energy modes using the Majorana polarization
• Mitigating disorder-induced zero-energy states in weakly-coupled semiconductor-superconductor hybrid systems
• Anomalous supercurrent and diode effect in locally perturbed topological Josephson junctions
• Topological and quantum critical properties of the interacting Majorana chain model
• Non-Hermitian zero-energy pinning of Andreev and Majorana bound states in superconductor-semiconductor systems
• Quantum-dot-based Kitaev chains: Majorana quality measures and scaling with increasing chain length
• Entanglement measures of Majorana bound states
• Josephson diode effect with Andreev and Majorana bound states
• Grüneisen parameter as an entanglement compass and the breakdown of the Hellmann-Feynman theorem
• Emergent pair symmetries in systems with poor man's Majorana modes
• Non-Abelian Anyons and Non-Abelian Vortices in Topological Superconductors
• Josephson effect and critical currents in trivial and topological full-shell hybrid nanowires
• Topological Quantum Gates in Homotopy Type Theory
• Statistical Majorana Bound State Spectroscopy
• Odd-frequency superconducting pairing due to multiple Majorana edge modes in driven topological superconductors
• Topological indicators for systems with open boundaries: Application to the Kitaev wire
• Topological superconductivity in a magnetic-texture coupled Josephson junction
• Controlling Majorana hybridization in magnetic chain-superconductor systems
• Odd-frequency pairing due to Majorana and trivial Andreev bound states
• Simulation of Kitaev model using one-dimensional chain of superconducting qubits and environmental effect on topological states
• Beyond the standard model of topological Josephson junctions: From crystalline anisotropy to finite-size and diode effects
• Charging a Dimerized Quantum XY Chain
• Anomalous proximity effect under Andreev and Majorana bound states
• Coexistence of Chiral Majorana Edge States and Bogoliubov Fermi Surfaces in Two-Dimensional Nonsymmorphic Dirac Semimetal/Superconductor Heterostructures
• Crystalline electric field excitations and their nonlinear splitting under magnetic fields in YbOCl
• Majorana modes in striped two-dimensional inhomogeneous topological superconductors
• The Role of Quantum Computing in Advancing Scientific High-Performance Computing: A perspective from the ADAC Institute
• Sub-symmetry Protected Topology in Topological Insulators and Superconductors
• Richardson model with complex level structure and spin-orbit coupling for hybrid superconducting islands: stepwise suppression of pairing and magnetic pinning
• Phase-controlled minimal Kitaev chain in multiterminal Josephson junctions
• Spin-Exchange Induced Spillover on Poor Man's Majoranas in Minimal Kitaev Chains
• Caroli-de Gennes-Matricon Analogs in Full-Shell Hybrid Nanowires
• Noise-Tolerance of Majorana Teleportation in Mesoscopic Topological Superconductors
• Spin-resolved nonlocal transport in proximitized Rashba nanowires
• Fractionalization of Majorana-Ising-type quasiparticles
• In situ tuning of dynamical Coulomb blockade on Andreev bound states in hybrid nanowire devices
• Majorana bound state parity exchanges in planar Josephson junctions
• Time-dependent driving and topological protection in the fractional Josephson effect
• Effect of interatomic repulsion on Majorana zero modes in a coupled quantum-dot-superconducting-nanowire hybrid system
• Thermoelectric fluctuations of interfering Majorana bound states
• Topological zero modes and bounded modes at smooth domain walls: Exact solutions and dualities
• Revisiting the Poor Man's Majoranas: The Spin-Exchange Induced Spillover Effect
• Exponential suppression of the topological gap in self-consistent intrinsic Majorana nanowires
• Engineering Majorana Kramers Pairs In Synthetic High Spin Chern Insulators
• Quantum dot detects Majorana modes of both chiralities
• Dynamics of Majorana zero modes across hybrid Kitaev chain
• Odd-frequency Pairing in Josephson Junctions Coupled by Magnetic Textures
• Current cross-correlation spectroscopy of Majorana bound states
• Absence of Quasi-Majorana False Positives in Full-Shell Hybrid Nanowires
• Zero energy modes with Gaussian, exponential, or polynomial decay: Exact solutions in hermitian and nonhermitian regimes
• Majorana edge and end states in planar Josephson junctions
• Probing the Design Space of InSb Topological Superconductor Nanowires for the Realization of Majorana Zero Modes
• Rashba spin-orbit coupling and artificially engineered topological superconductors
• Topologically nontrivial multicritical points
• Entanglement dynamics in minimal Kitaev chains
• Electrostatic gating and the interference of chiral Majoranas in thin slabs of magnetic topological insulators
• Ballistic transport in 1D Rashba systems in the context of Majorana nanowires
• Fluctuation response of a minimal Kitaev chain in nonequilibrium states
• Fluxoid solitons in superconducting tapered tubes and bottlenecks
• Topological superconductivity in helical crystals