Braiding without Braiding: Teleportation-Based Quantum Information Processing with Majorana Zero Modes

Abstract

We present a new measurement-based scheme for performing braiding operations on Majorana zero modes and for detecting their non-Abelian statistics without moving or hybridizing them. In our scheme, the topological qubit encoded in any pair of well-separated Majorana zero modes in a mesoscopic superconductor island is read out from the transmission phase shift in electron teleportation through the island in the Coulomb blockade regime. We propose experimental setups to measure the teleportation phase shift via conductance in an electron interferometer or persistent current in a closed loop.

11 pages, 6 figures

References in corpus (36)

• Non-Abelian Anyons and Topological Quantum Computation
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Unpaired Majorana fermions in quantum wires
• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
• Helical liquids and Majorana bound states in quantum wires
• New directions in the pursuit of Majorana fermions in solid state systems
• Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
• A generic new platform for topological quantum computation using semiconductor heterostructures
• Non-abelian statistics of half-quantum vortices in p-wave superconductors
• Search for Majorana fermions in superconductors
• Non-Abelian statistics and topological quantum information processing in 1D wire networks
• Exponential Protection of Zero Modes in Majorana Islands
• Observation of Majorana fermions with spin selective Andreev reflection in the vortex of topological superconductor
• Majorana mode in vortex core of Bi2Te3/NbSe2 topological insulator-superconductor heterostructure
• Milestones toward Majorana-based quantum computing
• Electron Teleportation via Majorana Bound States in a Mesoscopic Superconductor
• Programmable quantum gate arrays
• Coulomb-assisted braiding of Majorana fermions in a Josephson junction array
• Multichannel Generalization of Kitaev's Majorana End States and a Practical Route to Realize Them in Thin Films
• Measurement-Only Topological Quantum Computation
• Controlling non-Abelian statistics of Majorana fermions on Majorana dimer lattices
• Universal quantum computation using only projective measurement, quantum memory, and preparation of the 0 state
• Adiabatic manipulations of Majorana fermions in a three-dimensional network of quantum wires
• Towards realistic implementations of a Majorana surface code
• Roadmap to Majorana surface codes
• Majorana Fermion Surface Code for Universal Quantum Computation
• Conductance of a proximitized nanowire in the Coulomb blockade regime
• Majorana single-charge transistor
• Non-local Adiabatic Response of a Localized System to Local Manipulations
• Majorana braiding with thermal noise
• Shortcuts to nonabelian braiding
• Fractionalization in Superconductor Josephson Junction Arrays Hinged by Quantum Spin Hall edges
• Physical Implementation of a Majorana Fermion Surface Code for Fault-Tolerant Quantum Computation
• Monte Carlo studies of the properties of the Majorana quantum error correction code: is self-correction possible during braiding?
• Globally symmetric topological phase: from anyonic symmetry to twist defect

Cited by in corpus (110)

• Scalable Designs for Quasiparticle-Poisoning-Protected Topological Quantum Computation with Majorana Zero Modes
• Epitaxy of Advanced Nanowire Quantum Devices
• Zero-Energy Modes from Coalescing Andreev States in a Two-Dimensional Semiconductor-Superconductor Hybrid Platform
• Measuring Majorana non-locality and spin structure with a quantum dot
• InAs-Al Hybrid Devices Passing the Topological Gap Protocol
• Next steps of quantum transport in Majorana nanowire devices
• Hard superconducting gap in InSb nanowires
• Search for non-Abelian Majorana braiding statistics in superconductors
• Selective Area Grown Semiconductor-Superconductor Hybrids: A Basis for Topological Networks
• Transport signatures of quasiparticle poisoning in a Majorana island
• Majorana nanowires for topological quantum computation
• An experimentally accessible quality factor for Majorana wires
• Tunable vortex Majorana zero modes in LiFeAs superconductor
• Shadow-wall lithography of ballistic superconductor-semiconductor quantum devices
• Deterministic creation and braiding of chiral edge vortices
• Combining Topological Hardware and Topological Software: Color Code Quantum Computing with Topological Superconductor Networks
• Measurement-only quantum computation with Majorana corner modes
• Distinguishing Majorana bound states from localized Andreev bound states by interferometry
• Selective-area chemical beam epitaxy of in-plane InAs one-dimensional channels grown on InP(001), InP(111)B, and InP(110) surfaces
• Majorana qubits in topological insulator nanoribbon architecture
• Parity transitions in the superconducting ground state of hybrid InSb-Al Coulomb islands
• Proximity-induced low-energy renormalization in hybrid semiconductor-superconductor Majorana structures
• Coherent transport through a Majorana island in an Aharonov-Bohm interferometer
• Perspective: Challenges and Transformative Opportunities in Superconductor Vortex Physics
• In-plane selective area InSb-Al nanowire quantum networks
• Anyons in Multichannel Kondo Systems
• Parity-controlled $2\pi$ Josephson effect mediated by Majorana Kramers pairs
• Majorana Superconducting Qubit
• Braiding errors in interacting Majorana quantum wires
• Stabilization and control of Majorana bound states with elongated skyrmions
• Braiding by Majorana Tracking and Long-Range CNOT Gates with Color Codes
• Coupling and braiding Majorana bound states in networks defined in proximitized two-dimensional electron gases
• Parity-to-charge conversion in Majorana qubit readout
• Steering Majorana braiding via skyrmion-vortex pairs: a scalable 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
• Topological Quantum Computing Using Nanowire Devices
• Majorana Zero Modes Protected by Hopf Invariant in Topologically Trivial Superconductors
• Lifetime of Majorana qubits in Rashba nanowires with non-uniform chemical potential
• Quantum Computing with Majorana Kramers Pairs
• Recent progress on Majorana in semiconductor-superconductor heterostructures--Engineering and detection
• Braiding-based quantum control of a Majorana qubit built from quantum dots
• Braidonium: a braiding quantum circuit based on the $4\pi$ Josephson effect
• Majorana finite frequency nonequilibrium quantum noise
• Degeneracy lifting of Majorana bound states due to electron-phonon interactions
• Radio-frequency methods for Majorana-based quantum devices: fast charge sensing and phase diagram mapping
• Protocol Discovery for the Quantum Control of Majoranas by Differentiable Programming and Natural Evolution Strategies
• Vortex Majorana braiding in a finite time
• Single-shot fabrication of semiconducting-superconducting nanowire devices
• Rigorous results on topological superconductivity with particle number conservation
• Conductance feature smearing and anisotropic suppression of induced superconductivity in a Majorana nanowire
• Suppression of odd-frequency pairing by phase-disorder in a nanowire coupled to Majorana zero modes
• Semiconductor-ferromagnet-superconductor planar heterostructures for 1D topological superconductivity
• Non-local spin correlation as a signature of Ising anyons trapped in vacancies of the Kitaev spin liquid
• Observation of Aharonov-Bohm effect in PbTe nanowire networks
• Phase-manipulation-induced Majorana Mode and Braiding Realization in Iron-based Superconductor Fe(Te,Se)
• Electrical detection of the Majorana fusion rule for chiral edge vortices in a topological superconductor
• Gatemon qubit based on a thin InAs-Al hybrid nanowire
• Number conserving analysis of measurement-based braiding with Majorana zero modes
• Braiding higher-order Majorana corner states through their spin degree of freedom
• Fusion rules in a Majorana single-charge transistor
• Tunable vortex Majorana modes controlled by strain in homogeneous LiFeAs
• Measurement and control of a Coulomb-blockaded parafermion box
• Supercurrent induced resonant optical response
• $\text{Draiding}$ majoranas to dynamically engineer Hamiltonians
• Topological $\pi$-junctions from crossed Andreev reflection in the Quantum Hall regime
• Feasibility of measurement-based braiding in the quasi-Majorana regime of semiconductor-superconductor heterostructures
• Simulating topological tensor networks with Majorana qubits
• Optimal noise-canceling shortcuts to adiabaticity: application to noisy Majorana-based gates
• Ubiquitous non-local entanglement with Majorana bound states
• Multi-impurity chiral Kondo model: correlation functions and anyon fusion rules
• Stability of Floquet Majorana box qubits
• Transmission phase read-out of a large quantum dot in a nanowire interferometer
• Materials for Quantum Technologies: a Roadmap for Spin and Topology
• Machine learning optimization of Majorana hybrid nanowires
• Protocol for reading out Majorana vortex qubit and testing non-Abelian statistics
• Engineering Yang-Lee anyons via Majorana bound states
• Survival of the fractional Josephson effect in time-reversal-invariant topological superconductors
• Remote sensing and faithful quantum teleportation through non-localized qubits
• Majorana signatures in charge transport through a topological superconducting double-island system
• Transmission Amplitude through a Coulomb blockaded Majorana Wire
• Quantum transport in coupled Majorana box systems
• Signatures of topological ground state degeneracy in Majorana islands
• Evolution of the transmission phase through a Coulomb-blockaded Majorana wire
• Holonomic implementation of CNOT gate on topological Majorana qubits
• Controlling Majorana modes by $p$-wave pairing in two-dimensional $p+id$ topological superconductors
• Long distance coherence of Majorana wires
• Quantum computation by teleportation and symmetry
• Topologically protected heat pumping from braiding Majorana zero modes
• Transport probe of nonadiabatic transition caused by Majorana moving
• SQUID oscillations in PbTe nanowire networks
• Signatures of a Spin-Active Interface and Locally Enhanced Zeeman field in a Superconductor-Chiral Material Heterostructure
• Enhanced $2\pi$-periodic Aharonov-Bohm Effect as a Signature of Majorana Zero Modes Probed by Nonlocal Measurements
• Topological gap protocol based machine learning optimization of Majorana hybrid wires
• Topological state transfers in cavity-magnon system
• Robustness of vortex-bound Majorana zero modes against correlated disorder
• Capacitance-based Fermion parity read-out and predicted Rabi oscillations in a Majorana nanowire
• Bath-induced decoherence in finite-size Majorana wires at non-zero temperature
• Noise-Tolerance of Majorana Teleportation in Mesoscopic Topological Superconductors
• From Majorana fermions to topological quantum computation in semiconductor/superconductor heterostructures
• Shuttling Majorana zero modes in disordered and noisy topological superconductors
• Transport-based fusion that distinguishes between Majorana and Andreev bound states
• Generalized Majorana edge modes in a number-conserving periodically driven $p$-wave superconductor
• Deterministic topological quantum gates for Majorana qubits without ancillary modes
• 1D Error Correcting Code for Majorana Qubits
• Sub-gap Fano resonances in a topological superconducting wire with on-site Coulomb interactions
• Parity readout in Majorana box qubits from the dispersive to the resonant regime
• Majorana bound states with chiral magnetic textures
• Decoherence of Majorana zero modes mediated by gapless fermions
• Majorana edge modes in isolated wires