Scalable Designs for Quasiparticle-Poisoning-Protected Topological Quantum Computation with Majorana Zero Modes

Abstract

We present designs for scalable quantum computers composed of qubits encoded in aggregates of four or more Majorana zero modes, realized at the ends of topological superconducting wire segments that are assembled into superconducting islands with significant charging energy. Quantum information can be manipulated according to a measurement-only protocol, which is facilitated by tunable couplings between Majorana zero modes and nearby semiconductor quantum dots. Our proposed architecture designs have the following principal virtues: (1) the magnetic field can be aligned in the direction of all of the topological superconducting wires since they are all parallel; (2) topological $T$-junctions are not used, obviating possible difficulties in their fabrication and utilization; (3) quasiparticle poisoning is abated by the charging energy; (4) Clifford operations are executed by a relatively standard measurement: detection of corrections to quantum dot energy, charge, or differential capacitance induced by quantum fluctuations; (5) it is compatible with strategies for producing good approximate magic states.

34 pages, 17 figures; v4: minor changes, final version

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Cited by in corpus (400)

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• Zero-Energy Modes from Coalescing Andreev States in a Two-Dimensional Semiconductor-Superconductor Hybrid Platform
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• Lower bounds on the non-Clifford resources for quantum computations
• Hybridization at superconductor-semiconductor interfaces
• Roadmap on quantum nanotechnologies
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• Selective Area Grown Semiconductor-Superconductor Hybrids: A Basis for Topological Networks
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• Helical Liquids in Semiconductors
• Numerical study of PbTe-Pb hybrid nanowires for engineering Majorana zero modes
• Non-Abelian Braiding of Chiral Majorana Fermions by Quantum Dots
• Giant shot noise from Majorana zero modes in topological trijunctions
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• QFlow lite dataset: A machine-learning approach to the charge states in quantum dot experiments
• Topological superconductivity in semiconductor-superconductor-magnetic insulator heterostructures
• Full-Stack, Real-System Quantum Computer Studies: Architectural Comparisons and Design Insights
• Majorana-Hubbard model on the square lattice
• Skyrmion Control of Majorana States in Planar Josephson Junctions
• Topological electronic structure and spin texture of quasi-one-dimensional higher-order topological insulator Bi4Br4
• The Quantum Anomalous Hall Majorana Platform
• Exact master equation and decoherence dynamics of Majorana zero modes under the gate-induced charge fluctuation
• Low-field Topological Threshold in Majorana Double Nanowires
• Rapid detection of coherent tunneling in an InAs nanowire quantum dot through dispersive gate sensing
• Steering Majorana braiding via skyrmion-vortex pairs: a scalable platform
• Optimization of the surface code design for Majorana-based qubits
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• Supercurrent Interference in Semiconductor Nanowire Josephson Junctions
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• Majorana Zero Modes Protected by Hopf Invariant in Topologically Trivial Superconductors
• Majorana Quantum Lego, a Route Towards Fracton Matter
• Synthetic Weyl Points and Chiral Anomaly in Majorana Devices with Nonstandard Andreev-Bound-State Spectra
• Protocol to identify a topological superconducting phase in a three-terminal device
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• Charge-4e supercurrent in a two-dimensional InAs-Al superconductor-semiconductor heterostructure
• Proximity-induced supercurrent through topological insulator based nanowires for quantum computation studies
• Recent progress on Majorana in semiconductor-superconductor heterostructures--Engineering and detection
• Robust integer and fractional helical modes in the quantum Hall effect
• Control of Andreev bound states using superconducting phase texture
• Topological Superconductivity Induced by Magnetic Texture Crystals
• Manipulating Majorana zero modes in double quantum dots
• Braiding-based quantum control of a Majorana qubit built from quantum dots
• Building topological quantum circuits: Majorana nanowire junctions
• Charge noise and overdrive errors in reflectometry-based charge, spin and Majorana qubit readout
• Bandgap-Assisted Quantum Control of Topological Edge States in a Cavity
• Quantum computation from dynamic automorphism codes
• Rapid microwave-only characterization and readout of quantum dots using multiplexed gigahertz-frequency resonators
• Dynamical polarization of the fermion parity in a nanowire Josephson junction
• Tunable proximity effects and topological superconductivity in ferromagnetic hybrid nanowires
• Towards dark space stabilization and manipulation in driven dissipative Majorana platforms
• Radio-frequency methods for Majorana-based quantum devices: fast charge sensing and phase diagram mapping
• Vortex Majorana braiding in a finite time
• Majorana Bound States in Double Nanowires with Reduced Zeeman Thresholds due to Supercurrents
• Protocol Discovery for the Quantum Control of Majoranas by Differentiable Programming and Natural Evolution Strategies
• Fragility of surface states in topological superfluid ${}^3$He
• Robust Majorana magic gates via measurements
• Spin liquids from Majorana Zero Modes in a Cooper Box
• Quons: A 3D Language for Quantum Information
• Rigorous results on topological superconductivity with particle number conservation
• Topological superconductivity in nanowires proximate to a diffusive superconductor-magnetic insulator bilayer
• Single-shot fabrication of semiconducting-superconducting nanowire devices
• Modeling noise and error correction for Majorana-based quantum computing
• Full parity phase diagram of a proximitized nanowire island
• Four-Majorana qubit with charge readout: dynamics and decoherence
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• Semiconductor-ferromagnet-superconductor planar heterostructures for 1D topological superconductivity
• Spectral response of Josephson junctions with low-energy quasiparticles
• Conductance feature smearing and anisotropic suppression of induced superconductivity in a Majorana nanowire
• Phase-manipulation-induced Majorana Mode and Braiding Realization in Iron-based Superconductor Fe(Te,Se)
• Coupled superconducting spin qubits with spin-orbit interaction
• Observation of Aharonov-Bohm effect in PbTe nanowire networks
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• Progress in superconductor-semiconductor topological Josephson junctions
• Kitaev chain in an alternating quantum dot-Andreev bound state array
• Electrical detection of the Majorana fusion rule for chiral edge vortices in a topological superconductor
• Number conserving analysis of measurement-based braiding with Majorana zero modes
• Evidence of Andreev blockade in a double quantum dot coupled to a superconductor
• Zeeman-driven parity transitions in an Andreev quantum dot
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• Identification of Majorana Modes in Interacting Systems by Local Integrals of Motion
• Majorana Qubit Readout Using Longitudinal Qubit-Resonator Interaction
• Measurement and control of a Coulomb-blockaded parafermion box
• Contribution of top barrier materials to high mobility in near-surface InAs quantum wells grown on GaSb(001)
• $Z_4$ parafermion $\pm \pi /2$ modes in interacting periodically driven superconducting chain
• Majorana-Josephson Interferometer
• Revealing charge-tunneling processes between a quantum dot and a superconducting island through gate sensing
• Transport through a Majorana island: strong tunneling regime
• Transport signatures of Majorana bound states in superconducting hybrid structures
• Coupled wire construction of a topological phase with chiral tricritical Ising edge modes
• Stable quantum dots in an InSb two-dimensional electron gas
• Conductance interference in a superconducting Coulomb blockaded Majorana ring
• Impurity-induced states in superconducting heterostructures
• Suppressing quasiparticle poisoning with a voltage-controlled filter
• Coulomb blockade of a nearly-open Majorana island
• Absence of supercurrent sign reversal in a topological junction with a quantum dot
• $\text{Draiding}$ majoranas to dynamically engineer Hamiltonians
• Control and detection of Majorana bound states in quantum dot arrays
• Quasiparticle poisoning effects on the dynamics of topological Josephson junctions
• Optimized micromagnet geometries for Majorana zero modes in low g-factor materials
• Topological $\pi$-junctions from crossed Andreev reflection in the Quantum Hall regime
• Topological Kondo Device for distinguishing Quasi-Majorana and Majorana signatures
• Parafermionic generalization of the topological Kondo effect
• Robust topological phase in proximitized core-shell nanowires coupled to multiple superconductors
• Feasibility of measurement-based braiding in the quasi-Majorana regime of semiconductor-superconductor heterostructures
• Non-hermitian topology in multiterminal superconducting junctions
• Spin Coherent Manipulation in Josephson Weak Links
• Effects of decoherence on diabatic errors in Majorana braiding
• Non-Topological Majorana Zero Modes in Inhomogeneous Spin Ladders
• Majorana quasiparticles in atomic spin chains on superconductors
• Simulating topological tensor networks with Majorana qubits
• Classification of Small Triorthogonal Codes
• Controllable Single Cooper Pair Splitting in Hybrid Quantum Dot Systems
• Quasiparticle relaxation in superconducting nanostructures
• Achieving fault tolerance on capped color codes with few ancillas
• Non-Abelian Berry phase for open quantum systems: Topological protection vs geometric dephasing
• Gate-induced decoupling of surface and bulk state properties in selectively-deposited Bi${}_2$Te${}_3$ nanoribbons
• Experimental review on Majorana zero-modes in hybrid nanowires
• Spin vs. bond correlations along dangling edges of quantum critical magnets
• Manipulation of Majorana Kramers Qubit and its Tolerance in Time-Reversal-Invariant Topological Superconductor
• Enhancing qubit readout through dissipative sub-Poissonian dynamics
• Engineering unsteerable quantum states with active feedback
• Optimizing the transport of Majorana zero modes in one-dimensional topological superconductors
• Renormalization of quantum dot $g$-factor in superconducting Rashba nanowires
• Optimal noise-canceling shortcuts to adiabaticity: application to noisy Majorana-based gates
• Non-Abelian Geometric Dephasing
• Sachdev-Ye-Kitaev circuits for braiding and charging Majorana zero modes
• Entanglement measures of Majorana bound states
• Detecting Majorana modes by readout of poisoning-induced parity flips
• Majorana bound state engineering via efficient real-space parameter optimization
• Transmission phase read-out of a large quantum dot in a nanowire interferometer
• Stability of Floquet Majorana box qubits
• Dynamical leakage of Majorana mode into side-attached quantum dot
• Optimizing Clifford gate generation for measurement-only topological quantum computation with Majorana zero modes
• Fidelity and visibility reduction in Majorana qubits by entanglement with environmental modes
• Geometry -- dependent effects in Majorana nanowires
• Detecting parity effect in a superconducting device in the presence of parity switches
• Realization of a Valley Superlattice
• Machine learning optimization of Majorana hybrid nanowires
• Fermion-Parity-Based Computation and its Majorana-Zero-Mode Implementation
• Certified Quantum Measurement of Majorana Fermions
• Selective Area Growth Rates of III-V Nanowires
• Hierarchical Majoranas in a Programmable Nanowire Network
• Chiral-Flux-Phase-Based Topological Superconductivity in Kagome Systems with Mixed Edge Chiralities
• Topological superconductivity at finite temperatures in proximitized magnetic nanowires
• Scalable Fermionic Error Correction in Majorana Surface Codes
• Protocol for reading out Majorana vortex qubit and testing non-Abelian statistics
• Supercurrent parity-meter in a nanowire Cooper-pair transistor
• Majorana phase-gate based on the geometric phase
• Mobility exceeding 100,000 cm${}^2$/Vs in modulation-doped shallow InAs quantum wells coupled to epitaxial aluminum
• Supersymmetry in the Insulating Phase of a Chain of Majorana Cooper Pair Boxes
• Variable and orbital-dependent spin-orbit field orientations in a InSb double quantum dot characterized via dispersive gate sensing
• Spin currents driven by the Higgs mode in magnetic superconductors
• 1D Majorana Goldstinos and partial supersymmetry breaking in quantum wires
• Decoherence dynamics of Majorana qubits under braiding operations
• Survival of the fractional Josephson effect in time-reversal-invariant topological superconductors
• Quantum phase transitions of the Majorana toric code in the presence of finite Cooper-pair tunneling
• Universal quantum computing with parafermions assisted by a half fluxon
• Majorana modes in quantum dots coupled via a floating superconducting island
• Dispersive sensing in hybrid InAs/Al nanowires
• Curvature of gap closing features and the extraction of Majorana nanowire parameters
• Non-Abelian defects in Fracton phase of matter
• Surface Modification and Subsequent Fermi Density Enhancement of Bi(111)
• Topological contextuality and anyonic statistics of photonic-encoded parafermions
• Multiterminal transport spectroscopy of subgap states in Coulomb-blockaded superconductors
• Topological Superconductivity in a two-dimensional Weyl SSH model
• Majorana signatures in charge transport through a topological superconducting double-island system
• Anodic Oxidation of Epitaxial Superconductor-Semiconductor Hybrids
• Non-Abelian Anyons and Non-Abelian Vortices in Topological Superconductors
• Transport properties of Majorana bound states networks in the Coulomb blockade regime
• Broadband microwave spectroscopy of semiconductor nanowire-based Cooper-pair transistors
• Time-reversal-invariant topological superconductivity
• Spectroscopic Visualization of a Robust Electronic Response of Semiconducting Nanowires to Deposition of Superconducting Islands
• Coulomb Blockade in Fractional Topological Superconductors
• Multi-level effects in quantum-dot based parity-to-charge conversion of Majorana box qubits
• Josephson effect and critical currents in trivial and topological full-shell hybrid nanowires
• Signatures of topological ground state degeneracy in Majorana islands
• Softening of Majorana edge states by long-range couplings
• Delocalisation of Majorana quasiparticles in plaquette--nanowire hybrid system
• Combating quasiparticle poisoning with multiple Majorana fermions in a periodically-driven quantum wire
• Topological Phase Transition in Quasi-One-Dimensional Bismuth Iodide Bi4I4
• Quantum phases of a one-dimensional Majorana-Bose-Hubbard model
• Visibility of noisy quantum dot-based measurements of Majorana qubits
• Quantized spin pumping in topological ferromagnetic-superconducting nanowires
• Quantum transport in coupled Majorana box systems
• Improved Pairwise Measurement-Based Surface Code
• Interference and parity blockade in transport through a Majorana box
• Magic State Distillation at Intermediate Size
• Flux-induced Topological Superconductor in Planar Josephson Junction
• Thermoelectric transport through a finite-$U$ quantum dot side-coupled to Majorana bound state
• Symmetry Protected Quantum Computation
• Hard-gap spectroscopy in a self-defined mesoscopic InAs/Al nanowire Josephson junction
• Measuring Topological Order
• Engineering Quantum Spin Liquids and Many-Body Majorana States with a Driven Superconducting Box Circuit
• Dispersive 1D Majorana modes with emergent supersymmetry in 1D proximitized superconductors via spatially-modulated potentials and magnetic fields
• Interaction Driven Floquet Engineering of Topological Superconductivity in Rashba Nanowires
• Holonomic implementation of CNOT gate on topological Majorana qubits
• AC Josephson effect in a gate-tunable Cd${}_3$As${}_2$ nanowire superconducting weak link
• Robust spectral $\pi$ pairing in the random-field Floquet quantum Ising model
• Majorana zero modes by engineering topological kink states in two dimensional electron gas
• Ground state topology of a four-terminal superconducting double quantum dot
• Manipulating quantum coherence of charge states in interacting double-dot Aharonov-Bohm interferometers
• Multiplicative Majorana zero-modes
• Tunable topological states hosted by unconventional superconductors with adatoms
• Bounds on stabilizer measurement circuits and obstructions to local implementations of quantum LDPC codes
• 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
• Leakage of the Majorana quasiparticles in Rashba nanowire deposited on superconducting--normal substrate
• Measurements of spin-orbit interaction in epitaxially grown InAs nanosheets
• Long distance coherence of Majorana wires
• Encoding Majorana codes
• Subgap states in semiconductor-superconductor devices for quantum technologies: Andreev qubits and minimal Majorana chains
• Dephasing of Majorana qubits due to quasistatic disorder
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• Flip-chip-based fast inductive parity readout of a planar superconducting island
• Strictly local one-dimensional topological quantum error correction with symmetry-constrained cellular automata
• Readout of Majorana bound states via Landau-Zener transition
• Nonequilibrium Andreev bound states population in short superconducting junctions coupled to a resonator
• Dynamical approach to improving Majorana qubits and distinguishing them from trivial bound states
• Electrostatic effects and topological superconductivity in semiconductor-superconductor-magnetic insulator hybrid wires
• Geometrical Rabi oscillations and Landau-Zener transitions in non-Abelian systems
• Implementation of single-qubit gates via parametric modulation in the Majorana transmon
• Phonon-induced Majorana Qubit Relaxation in Tunnel-Coupled Two-Island Topological Superconductors
• SQUID oscillations in PbTe nanowire networks
• Unified linear response theory of quantum electronic circuits
• Controllable Majorana fermions on domain walls of a magnetic topological insulator
• Transport probe of nonadiabatic transition caused by Majorana moving
• Hybrid Exchange Measurement-Based Qubit Operations in Semiconductor Double Quantum Dot Qubits
• Topologically protected heat pumping from braiding Majorana zero modes
• Chiral to helical Majorana fermion transition in a $p$-wave superconductor
• Accommodating Fabrication Defects on Floquet Codes with Minimal Hardware Requirements
• Topological ordering in the Majorana Toric Code
• Topological Josephson Bifurcation Amplifier: Semiclassical theory
• Topological gap protocol based machine learning optimization of Majorana hybrid wires
• Coexistence of Chiral Majorana Edge States and Bogoliubov Fermi Surfaces in Two-Dimensional Nonsymmorphic Dirac Semimetal/Superconductor Heterostructures
• Double Fu-teleportation and anomalous Coulomb blockade in a Majorana-hosted superconducting island
• Fractional transconductance via non-adiabatic topological Cooper pair pumping
• Missing odd-order Shapiro steps do not uniquely indicate fractional Josephson effect
• A new twist on the Majorana surface code: Bosonic and fermionic defects for fault-tolerant quantum computation
• Quasiparticle poisoning in trivial and topological Josephson junctions
• Braids and phase gates through high-frequency virtual tunneling of Majorana Zero Modes
• Multi-particle interferometry in the time-energy domain with localized topological quasiparticles
• Controllable Majorana vortex states in iron-based superconducting nanowires
• Braiding Majoranas in a linear quantum dot-superconductor array: Mitigating the errors from Coulomb repulsion and residual tunneling
• Physics of the Majorana-superconducting qubit hybrids
• Quantum Computation by Spin Parity Measurements with Encoded Spin Qubits
• Field effect two-dimensional electron gases in modulation-doped InSb surface quantum wells
• Capacitance-based Fermion parity read-out and predicted Rabi oscillations in a Majorana nanowire
• Topological superconductivity in proximity to type-II superconductors
• Measurement sequences for magic state distillation
• Majorana modes in trapped-ion system and their Floquet engineering
• Charge response of the Majorana toric code
• Erasure conversion in Majorana qubits via local quasiparticle detection
• Superconducting triangular islands as a platform for manipulating Majorana zero modes
• Preparation and readout of Majorana qubits in magnet-superconductor hybrid systems
• Flux-Tunable Hybridization in a Double Quantum Dot Interferometer
• Superconducting spin properties of Majorana nanowires and the associated superconducting anomalous Hall effect
• Tailoring Dynamical Codes for Biased Noise: The X${}^3$Z${}^3$ Floquet Code
• Pumped heat and charge statistics from Majorana braiding
• Many-body Majorana-like zero modes without gauge symmetry breaking
• Field-Programmable Topological Array: Framework and Case-Studies
• From Majorana fermions to topological quantum computation in semiconductor/superconductor heterostructures
• Certification of two-qubit quantum systems with temporal inequality
• Deterministic topological quantum gates for Majorana qubits without ancillary modes
• Single-shot quantum error correction with the three-dimensional subsystem toric code
• Dynamics of quantum resources in regular and Majorana fermion systems
• Transport-based fusion that distinguishes between Majorana and Andreev bound states
• 1D Error Correcting Code for Majorana Qubits
• Generalized Majorana edge modes in a number-conserving periodically driven $p$-wave superconductor
• Shuttling Majorana zero modes in disordered and noisy topological superconductors
• Majorana bound state parity exchanges in planar Josephson junctions
• Exchangeless braiding of Majorana zero modes in weakly coupled Kitaev chains
• Symmetry defects and their application to topological quantum computing
• Non-Abelian holonomy of Majorana zero modes coupled to a chaotic quantum dot
• Majorana braiding simulations with projective measurements
• Theory of Andreev Blockade in a Double Quantum Dot with a Superconducting Lead
• High transparency induced superconductivity in field effect two-dimensional electron gases in undoped InAs/AlGaSb surface quantum wells
• Detecting Majorana modes through Josephson junction ring-quantum dot hybrid architectures
• Quantifying robustness and locality of Majorana bound states in interacting systems
• Quantum-vacuum-protected topological edge polaritons
• Spin chains, defects, and quantum wires for the quantum-double edge
• Tight-Binding Energy-Phase Calculation for Topological Josephson Junction Nanowire Architecture
• A hierarchy in Majorana non-abelian tests and hidden variable models
• Q-Pandora Unboxed: Characterizing Noise Resilience of Quantum Error Correction Codes
• Spin splitting, Kondo correlation and singlet-doublet quantum phase transition in a superconductor-coupled InSb nanosheet quantum dot
• Quantum capacitance and parity switching of a quantum-dot-based Kitaev chain
• Shot noise signatures identifying non-Abelian properties of Jackiw-Rebbi zero modes
• Decoherence of Majorana zero modes mediated by gapless fermions
• Clean quantum point contacts in an InAs quantum well grown on a lattice-mismatched InP substrate
• Majorana bound states with chiral magnetic textures
• Ab initio simulation framework for Majorana transport in 2D materials: towards topological quantum computing
• Electrostatics in semiconducting devices I : The Pure Electrostatics Self Consistent Approximation
• Multiterminal Josephson junctions with tunable topological properties
• Extending the planar theory of anyons to quantum wire networks
• Majorana qubit readout by a point-contact detector under finite bias voltages
• Protected hybrid superconducting qubit in an array of gate-tunable Josephson interferometers
• Scheme for braiding Majorana zero modes in vortices using an STT-matrix
• Dispersive Gate Sensing the Quantum Capacitance of a Point Contact
• Parity readout in Majorana box qubits from the dispersive to the resonant regime
• Excess photon-assisted noise of Majorana and Andreev bound states
• Presence versus absence of charging energies in PbTe quantum dots