Milestones toward Majorana-based quantum computing
arXiv:1511.05153 · doi:10.1103/PhysRevX.6.031016
Abstract
We introduce a scheme for preparation, manipulation, and readout of Majorana zero modes in semiconducting wires with mesoscopic superconducting islands. Our approach synthesizes recent advances in materials growth with tools commonly used in quantum-dot experiments, including gate-control of tunnel barriers and Coulomb effects, charge sensing, and charge pumping. We outline a sequence of milestones interpolating between zero-mode detection and quantum computing that includes (1) detection of fusion rules for non-Abelian anyons using either proximal charge sensors or pumped current; (2) validation of a prototype topological qubit; and (3) demonstration of non-Abelian statistics by braiding in a branched geometry. The first two milestones require only a single wire with two islands, and additionally enable sensitive measurements of the system's excitation gap, quasiparticle poisoning rates, residual Majorana zero-mode splittings, and topological-qubit coherence times. These pre-braiding experiments can be adapted to other manipulation and readout schemes as well.
27 pages, 12 figures, greatly expanded discussion on manipulation strategies and fusion-rule/qubit protocols
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Cited by in corpus (376)
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- Distinguishing a Majorana zero mode using spin resolved measurements
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- Reproducing topological properties with quasi-Majorana states
- A Short Introduction to Topological Quantum Computation
- Measuring Majorana non-locality and spin structure with a quantum dot
- InAs-Al Hybrid Devices Passing the Topological Gap Protocol
- Quasiparticle dynamics in granular aluminum close to the superconductor to insulator transition
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- Quantum Image Processing and Its Application to Edge Detection: Theory and Experiment
- The Chemistry of Quantum Spin Liquids
- Direct microwave measurement of Andreev-bound-state dynamics in a proximitized semiconducting nanowire
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- Roadmap to Majorana surface codes
- Search for non-Abelian Majorana braiding statistics in superconductors
- Majorana splitting from critical currents in Josephson junctions
- Hybridization at superconductor-semiconductor interfaces
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- Transport signatures of quasiparticle poisoning in a Majorana island
- Majorana nanowires for topological quantum computation
- Probing quantum devices with radio-frequency reflectometry
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- Quantifying wave-function overlaps in inhomogeneous Majorana nanowires
- Hunting for Majoranas
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- Revealing the magnetic proximity effect in EuS/Al bilayers through superconducting tunneling spectroscopy
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- Numerical study of PbTe-Pb hybrid nanowires for engineering Majorana zero modes
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- Electrical control of Majorana Bound States Using Magnetic Stripes
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- Control and Coherence Time Enhancement of the 0- Qubit
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- Linear and non-linear transport across a finite Kitaev chain: an exact analytical study
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- Josephson effect in multiterminal topological junctions
- Microwave-Tunable Diode Effect in Asymmetric SQUIDs with Topological Josephson Junctions
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- Synthetic Weyl Points and Chiral Anomaly in Majorana Devices with Nonstandard Andreev-Bound-State Spectra
- Supercurrent Interference in Semiconductor Nanowire Josephson Junctions
- Superconductivity in the surface state of noble metal gold and its Fermi level tuning by EuS dielectric
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- Dispersive readout of Majorana qubits
- Quantum Computing with Majorana Kramers Pairs
- Probability and (Braiding) Statistics in Majorana nanowires
- Observation of 2e-periodic Supercurrents in Nanowire Single-Cooper-Pair Transistors
- Building topological quantum circuits: Majorana nanowire junctions
- Enhanced spin-triplet pairing in magnetic junctions with s-wave superconductors
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- Manipulating Majorana zero modes in double quantum dots
- Non-topological parafermions in a one-dimensional fermionic model with even multiplet pairing
- Majorana finite frequency nonequilibrium quantum noise
- Radio-frequency methods for Majorana-based quantum devices: fast charge sensing and phase diagram mapping
- Towards dark space stabilization and manipulation in driven dissipative Majorana platforms
- Electron Teleportation in Multi-Terminal Majorana Islands: Statistical Transmutation and Fractional Quantum Conductance
- Parafermion braiding in fractional quantum Hall edge states with finite chemical potential
- Proximity Effect Transfer from NbTi into a Semiconductor Heterostructure via Epitaxial Aluminum
- Protocol Discovery for the Quantum Control of Majoranas by Differentiable Programming and Natural Evolution Strategies
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- Surface codes, quantum circuits, and entanglement phases
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- Modeling noise and error correction for Majorana-based quantum computing
- Majorana Spin Liquids, Topology and Superconductivity in Ladders
- Optimal diabatic dynamics of Majorana-based quantum gates
- Magnetotransport signatures of three-dimensional topological insulator nanostructures
- Conductance feature smearing and anisotropic suppression of induced superconductivity in a Majorana nanowire
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- Dissipative topological systems
- Effects of the electrostatic environment on superlattice Majorana nanowires
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- Emulating Majorana fermions and their braiding by Ising spin chains
- Braiding higher-order Majorana corner states through their spin degree of freedom
- Number conserving analysis of measurement-based braiding with Majorana zero modes
- Fusion rules in a Majorana single-charge transistor
- Measuring Chern numbers in Hofstadter strips
- Progress in superconductor-semiconductor topological Josephson junctions
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- Splitting of conductance resonance through a magnetic quantum dot in graphene
- Majorana Qubit Readout Using Longitudinal Qubit-Resonator Interaction
- Emergent vortex Majorana zero mode in iron-based superconductors
- Measurement and control of a Coulomb-blockaded parafermion box
- Identification of Majorana Modes in Interacting Systems by Local Integrals of Motion
- Josephson Diode Effect in Topological Superconductor
- Tunable planar Josephson junctions driven by time-dependent spin-orbit coupling
- Majorana fermions at odd junctions in a wire network of ferromagnetic impurities
- Suppressing quasiparticle poisoning with a voltage-controlled filter
- Optical Manipulation of Domains in Chiral Topological Superconductors
- Zero modes of the Kitaev chain with phase-gradients and longer range couplings
- Absence of supercurrent sign reversal in a topological junction with a quantum dot
- Josephson junctions in double nanowires bridged by in-situ deposited superconductors
- Coulomb blockade of a nearly-open Majorana island
- Computing data for Levin-Wen with defects
- Impurity-induced states in superconducting heterostructures
- Control and detection of Majorana bound states in quantum dot arrays
- Parafermionic generalization of the topological Kondo effect
- Hysteresis from nonlinear dynamics of Majorana modes in topological Josephson junctions
- Feasibility of measurement-based braiding in the quasi-Majorana regime of semiconductor-superconductor heterostructures
- Robust topological phase in proximitized core-shell nanowires coupled to multiple superconductors
- Majorana-like localized spin density without bound states in topologically trivial spin-orbit coupled nanowires
- Diabatic errors in Majorana braiding with bosonic bath
- Non-hermitian topology in multiterminal superconducting junctions
- Topological -junctions from crossed Andreev reflection in the Quantum Hall regime
- Majorana Zero-Modes in a Two-Dimensional -Wave Superconductor
- Effects of decoherence on diabatic errors in Majorana braiding
- Josephson effect in junctions of conventional and topological superconductors
- Multiple topological transitions driven by the interplay of normal scattering and Andreev scattering
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- Integrating micromagnets and hybrid nanowires for topological quantum computing
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- Ubiquitous non-local entanglement with Majorana bound states
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- Enhancing qubit readout through dissipative sub-Poissonian dynamics
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- Non-Abelian Geometric Dephasing
- Detecting Majorana modes by readout of poisoning-induced parity flips
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- Edge modes and symmetry-protected topological states in open quantum systems
- Influence of long-range interaction on Majorana zero modes
- Fermion-Parity-Based Computation and its Majorana-Zero-Mode Implementation
- Topological superconductivity in Fibonacci quasicrystals
- Quasiparticle trapping at vortices producing Josephson supercurrent enhancement
- Out of Equilibrium Majoranas in Interacting Kitaev Chains
- Machine learning optimization of Majorana hybrid nanowires
- Engineering Yang-Lee anyons via Majorana bound states
- Topological superconductivity at finite temperatures in proximitized magnetic nanowires
- Charge sensing the parity of an Andreev molecule
- Quantum phase slips in a resonant Josephson junction
- Transport Signatures of a Majorana Qubit and Read-out-induced Dephasing
- Josephson junctions of Weyl semimetal induced by spontaneous nucleation of superconductor
- Majorana phase-gate based on the geometric phase
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- Building a bigger Hilbert space for superconducting devices, one Bloch state at a time
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- Majorana modes in quantum dots coupled via a floating superconducting island
- Machine-learned tuning of artificial Kitaev chains from tunneling-spectroscopy measurements
- Universal quantum computing with parafermions assisted by a half fluxon
- Quantum charge fluctuations of a proximitized nanowire
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- Majorana signatures in charge transport through a topological superconducting double-island system
- Heat dissipation mechanisms in hybrid superconductor-semiconductor devices revealed by Joule spectroscopy
- Quasiperiodic criticality and spin-triplet superconductivity in superconductor-antiferromagnet moire patterns
- Vortex pinning by the point potential in topological superconductors: a scheme for braiding Majorana bound states
- Field-sensitive dislocation bound states in two-dimensional -wave altermagnets
- Broadband microwave spectroscopy of semiconductor nanowire-based Cooper-pair transistors
- First Principles Assessment of CdTe as a Tunnel Barrier at the -Sn/InSb Interface
- Higgs modes in proximized superconducting systems
- Braiding Majorana Zero Mode in An Electrically Controllable Way
- Au-Assisted Substrate-Faceting for Inclined Nanowire Growth
- Visibility of noisy quantum dot-based measurements of Majorana qubits
- Josephson effect and critical currents in trivial and topological full-shell hybrid nanowires
- Delocalisation of Majorana quasiparticles in plaquette--nanowire hybrid system
- Multi-level effects in quantum-dot based parity-to-charge conversion of Majorana box qubits
- Quantum transport in coupled Majorana box systems
- Electron-Tunneling-Assisted Non-Abelian Braiding of Rotating Majorana Bound States
- Softening of Majorana edge states by long-range couplings
- Quantized spin pumping in topological ferromagnetic-superconducting nanowires
- Braiding and all quantum operations with Majorana modes in 1D
- Statistics tuned entanglement of the boundary modes in coupled Su-Schrieffer-Heeger chains
- Unitary Symmetry-Protected Non-Abelian Statistics of Majorana Modes
- Moving Majorana bound states between distinct helical edges across a quantum point contact
- Effect of topological length on Bound states signatures in a Topological nanowire
- Low-temperature environments for quantum computation and quantum simulation
- Evolution of the transmission phase through a Coulomb-blockaded Majorana wire
- Dispersive 1D Majorana modes with emergent supersymmetry in 1D proximitized superconductors via spatially-modulated potentials and magnetic fields
- Impurity-induced excitations in a topological two-dimensional ferromagnet/superconductor van der Waals moiré heterostructure
- Statistical Majorana Bound State Spectroscopy
- Probing the chirality of 1D Majorana edge states around a 2D nanoflake in a superconductor
- Full counting statistics in a Majorana single-charge transistor
- Spectroscopy of the local density-of-states in nanowires using integrated quantum dots
- Ground state topology of a four-terminal superconducting double quantum dot
- Dynamical topological excitations in parafermion chains
- Holonomic implementation of CNOT gate on topological Majorana qubits
- Topological superconductivity in a magnetic-texture coupled Josephson junction
- Switchable Non-Hermitian Skin Effect in Bogoliubov Modes
- Tunable topological states hosted by unconventional superconductors with adatoms
- Anomalous photon-assisted tunneling in periodically driven Majorana nanowires and BCS Charge Measurement
- Heat hunting in freezer: Direct measurement of quasiparticle diffusion in superconducting nanowire
- Multiplicative Majorana zero-modes
- Majorana corner modes and flat-band Majorana edge modes in superconductor/topological-insulator/superconductor junctions
- Revisiting 2-pi phase slip suppression in topological Josephson junctions
- Phase jumps in Josephson junctions with time-dependent spin-orbit coupling
- Nodeless superconducting gap in the candidate topological superconductor SnInTe for x = 0.7
- Controlling Majorana hybridization in magnetic chain-superconductor systems
- Delocalized states in three-terminal superconductor-semiconductor nanowire devices
- Dephasing of Majorana qubits due to quasistatic disorder
- Readout of Majorana bound states via Landau-Zener transition
- Quantum dots as parafermion detectors
- phases and Majorana spectroscopy in paired Bose-Hubbard chains
- Nonequilibrium Andreev bound states population in short superconducting junctions coupled to a resonator
- Flip-chip-based fast inductive parity readout of a planar superconducting island
- Robust Majorana bound states in magnetic topological insulator nanoribbons with fragile chiral edge channels
- Dynamics of parafermionic states in transport measurements
- Interplay of quantum spin Hall effect and spontaneous time-reversal symmetry breaking in electron-hole bilayers II: Zero-field topological superconductivity
- Geometrical Rabi oscillations and Landau-Zener transitions in non-Abelian systems
- Transient effects in quantum dots contacted via topological superconductor
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- InP/GaSb core-shell nanowires: a novel hole-based platform with strong spin-orbit coupling for full-shell hybrid devices
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- Topologically protected heat pumping from braiding Majorana zero modes
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- Braiding Induced by Finite-Size Effect in One-Dimensional Topological Superconductors
- Subgap states at ferromagnetic and spiral-ordered magnetic chains in two-dimensional superconductors. I. Continuum description
- Enhancement of the Kondo effect in a quantum dot formed in a full-shell nanowire
- Edge parafermions in fermionic lattices
- Origin of robust exceptional points: a restricted bulk zero mode
- Fractional transconductance via non-adiabatic topological Cooper pair pumping
- Topological gap protocol based machine learning optimization of Majorana hybrid wires
- Observation of an Abrupt 3D-2D Morphological Transition in Thin Al Layers Grown by MBE on InGaAs surface
- Control of Andreev Reflection via a Single-Molecule Orbital
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- Introduction of Sr into Bi2Se3 thin films by molecular beam epitaxy
- Effect of interactions on quantum-limited detectors
- Probing the non-Abelian fusion of a pair of Majorana zero modes
- Spin-resolved spectroscopy of helical Andreev bound states
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- Evidence for anisotropic spin-triplet Andreev reflection at the 2D van der Waals ferromagnet/superconductor interface
- Quantum transport theory of hybrid superconducting systems
- Quantum oscillations in a hexagonal boron nitride-supported single crystalline InSb nanosheet
- Microwave Andreev bound state spectroscopy in a semiconductor-based Planar Josephson junction
- The differential conductance tunnel spectroscopy in an analytical solvable two-terminal Majorana device
- Quantum dot coupled to topological insulators: The role of edge states
- Superconducting triangular islands as a platform for manipulating Majorana zero modes
- Rashba spin-orbit coupling enhanced magnetoresistance in junctions with one ferromagnet
- Quantum Computing with sine-Gordon Qubits
- Majorana Spin Current Generation by Dynamic Strain
- Pumped heat and charge statistics from Majorana braiding
- Phase-controlled quantum transport signatures in a quantum dot-Majorana hybrid ring system
- Spin-Exchange Induced Spillover on Poor Man's Majoranas in Minimal Kitaev Chains
- Josephson effect in superconductor-normal dot-superconductor junctions driven out of equilibrium by quasiparticle injection
- Theory of interaction-dependent instability in quantum detection by means of Luttinger liquid tunnel junction: a rigorous theorem
- Shuttling Majorana zero modes in disordered and noisy topological superconductors
- Majorana braiding simulations with projective measurements
- Non-Abelian holonomy of Majorana zero modes coupled to a chaotic quantum dot
- Exchangeless braiding of Majorana zero modes in weakly coupled Kitaev chains
- Super-Poissonian noise from quasiparticle poisoning in electron transport through a pair of Majorana bound states
- Fusion Rules of Majorana-Kramer-Pairs in Time-Reversal-Invariant Topological Superconductors
- Transport and fusion of Majorana zero modes in the presence of nonadiabatic transitions
- Moiré-enabled topological superconductivity
- Investigating the Exchange of Ising Chains on a Digital Quantum Computer
- Transport-based fusion that distinguishes between Majorana and Andreev bound states
- Dynamics of quantum resources in regular and Majorana fermion systems
- Rotating Majorana Zero Modes in a disk geometry
- Effect of interatomic repulsion on Majorana zero modes in a coupled quantum-dot-superconducting-nanowire hybrid system
- Multi-locational Majorana Zero Modes
- In-plane magnetic field driven conductance modulations in topological insulator kinks
- Quantifying robustness and locality of Majorana bound states in interacting systems
- Theory of Andreev Blockade in a Double Quantum Dot with a Superconducting Lead
- Universal Chern number statistics in random matrix fields
- Memory-Critical Dynamical Buildup of Phonon-Dressed Majorana Fermions
- A hierarchy in Majorana non-abelian tests and hidden variable models
- Reviving Majorana zero modes in the spin-1/2 Kitaev ladder model
- A simple electronic ladder model harboring parafermions
- Confinement-induced zero-bias peaks in conventional superconductor hybrids
- Multiterminal Josephson junctions with tunable topological properties
- Creating and detecting poor man's Majorana bound states in interacting quantum dots
- Spatially encoded light for Large-alphabet Quantum Key Distribution
- Probing the Design Space of InSb Topological Superconductor Nanowires for the Realization of Majorana Zero Modes
- Electronic transport in double-nanowire superconducting islands with multiple terminals
- Majorana bound states with chiral magnetic textures
- SWAP gate between a Majorana qubit and a parity-protected superconducting qubit
- Analytical classification of Majorana zero-mode spatial profiles in extended Kitaev chains: probability maxima can shift inward
- Transient triplet blockade in Andreev junction
- Decoherence of Majorana zero modes mediated by gapless fermions
- Spin responses of a disordered helical superconducting edge under Zeeman field
- Presence versus absence of charging energies in PbTe quantum dots
- Majorana qubit readout by a point-contact detector under finite bias voltages
- Fractional Wannier Orbitals and Tight-Binding Gauge Fields for Kitaev Honeycomb Superlattices with Flat Majorana Bands
- Clean quantum point contacts in an InAs quantum well grown on a lattice-mismatched InP substrate
- Cavity Control of Topological Qubits: Fusion Rule, Anyon Braiding, and Majorana-Schrödinger Cat States
- Parity readout in Majorana box qubits from the dispersive to the resonant regime