Topological Quantum Computing Using Nanowire Devices
arXiv:1910.11075 · doi:10.1103/PhysRevB.102.125407
Abstract
The boundary of topological superconductors might lead to the appearance of Majorana edge modes, whose non-trivial exchange statistics can be used for topological quantum computing. In branched nanowire networks one can exchange Majorana states by time-dependently tuning topologically non-trivial parameter regions. In this work, we simulate the exchange of four Majorana modes in T-shaped junctions made out of p-wave superconducting Rashba wires. We derive concrete experimental predictions for (quasi-)adiabatic braiding times and determine geometric conditions for successful Majorana exchange processes. Contrary to the widespread opinion, we show for the first time that in the adiabatic limit the gating time needs to be smaller than the inverse of the squared superconducting order parameter and scales linearly with the gating potential. Further, we show how to circumvent the formation of additional Majorana modes in branched nanowire systems, arising at wire intersection points of narrow junctions. Finally, we propose a multi qubit setup, which allows for universal and in particular topologically protected quantum computing.
References in corpus (78)
- Fault-tolerant quantum computation by anyons
- Anyons in an exactly solved model and beyond
- 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
- Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
- 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
- Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
- 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
- Observation of Majorana Fermions in a Nb-InSb Nanowire-Nb Hybrid Quantum Device
- Universal Quantum Computation with ideal Clifford gates and noisy ancillas
- Majorana fermions in a tunable semiconductor device
- Observation of the fractional ac Josephson effect: the signature of Majorana particles
- Majorana Zero Modes and Topological Quantum Computation
- Exponential Protection of Zero Modes in Majorana Islands
- Majorana bound states in a coupled quantum-dot hybrid-nanowire system
- Fermionic quantum computation
- Josephson Current and Noise at a Superconductor-Quantum Spin Hall Insulator-Superconductor Junction
- Colloquium: Majorana Fermions in nuclear, particle and solid-state physics
- Introduction to topological superconductivity and Majorana fermions
- Superconductor-Nanowire Devices from Tunneling to the Multichannel Regime: Zero-Bias Oscillations and Magnetoconductance Crossover
- Scalable Designs for Quasiparticle-Poisoning-Protected Topological Quantum Computation with Majorana Zero Modes
- Quantized Majorana conductance
- Milestones toward Majorana-based quantum computing
- Chiral Majorana edge state in a quantum anomalous Hall insulator-superconductor structure
- Majorana Fermions in Semiconductor Nanowires: Fundamentals, Modeling, and Experiment
- Scaling of Majorana Zero-Bias Conductance Peaks
- Majorana fermions emerging from magnetic nanoparticles on a superconductor without spin-orbit coupling
- -periodic Josephson supercurrent in HgTe-based topological Josephson junctions
- Ballistic Majorana nanowire devices
- Flux-controlled quantum computation with Majorana fermions
- Probing Atomic Structure and Majorana Wavefunctions in Mono-Atomic Fe-chains on Superconducting Pb-Surface
- Multichannel Generalization of Kitaev's Majorana End States and a Practical Route to Realize Them in Thin Films
- Gapless Andreev bound states in the quantum spin Hall insulator HgTe
- Majorana box qubits
- Majorana Fermions in Proximity-coupled Topological Insulator Nanowires
- Search for Majorana fermions in multiband semiconducting nanowires
- Universal Quantum Computation with the nu=5/2 Fractional Quantum Hall State
- Zero-Energy Modes from Coalescing Andreev States in a Two-Dimensional Semiconductor-Superconductor Hybrid Platform
- High-resolution studies of the Majorana atomic chain platform
- Ballistic superconductivity in semiconductor nanowires
- Parity lifetime of bound states in a proximitized semiconductor nanowire
- Braiding without Braiding: Teleportation-Based Quantum Information Processing with Majorana Zero Modes
- Top-transmon: hybrid superconducting qubit for parity-protected quantum computation
- Towards realistic implementations of a Majorana surface code
- Failure of protection of Majorana based qubits against decoherence
- Roadmap to Majorana surface codes
- Search for non-Abelian Majorana braiding statistics in superconductors
- Decay rates for topological memories encoded with Majorana fermions
- Non-Abelian Statistics in a Quantum Antiferromagnet
- Effective g-factor in Majorana Wires
- Non-adiabatic processes in Majorana qubit systems
- How quickly can anyons be braided? Or: How I learned to stop worrying about diabatic errors and love the anyon
- Majorana braiding with thermal noise
- Josephson junction dynamics in the presence of - and -periodic supercurrents
- A geometric protocol for a robust Majorana magic gate
- Combining Topological Hardware and Topological Software: Color Code Quantum Computing with Topological Superconductor Networks
- Shortcuts to nonabelian braiding
- Majorana Braiding Dynamics on Nanowires
- Topologically protected quantum gates for computation with non-Abelian anyons in the Pfaffian quantum Hall state
- Controlled-NOT for multiparticle qubits and topological quantum computation based on parity measurements
- Dynamics of Majorana-based qubits operated with an array of tunable gates
- Braiding errors in interacting Majorana quantum wires
- 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
- Time scales for Majorana manipulation using Coulomb blockade in gate-controlled superconducting nanowires
- Monte Carlo studies of the properties of the Majorana quantum error correction code: is self-correction possible during braiding?
- Building topological quantum circuits: Majorana nanowire junctions
- Degeneracy lifting of Majorana bound states due to electron-phonon interactions
- Majorana fermion exchange in strictly one dimensional structures
- Optimal diabatic dynamics of Majorana-based quantum gates
- Quasiparticle gaps in multiprobe Majorana nanowires
Cited by in corpus (16)
- Braiding-based quantum control of a Majorana qubit built from quantum dots
- Simulation of Non-Abelian Braiding Statistics in Topological Superconductors
- Synthetically Non-Hermitian Nonlinear Wave-like Behavior in a Topological Mechanical Metamaterial
- Many-body Majorana braiding without an exponential Hilbert space
- Majorana quasiparticles in atomic spin chains on superconductors
- Optimizing the transport of Majorana zero modes in one-dimensional topological superconductors
- Pattern-dependent proximity effect and Majorana edge mode in one-dimensional quasicrystals
- Gapless spin-excitations in the superconducting state of a quasi-one-dimensional spin-triplet superconductor
- Dephasing of Majorana qubits due to quasistatic disorder
- Transport probe of nonadiabatic transition caused by Majorana moving
- Probing the non-Abelian fusion of a pair of Majorana zero modes
- Bath-induced decoherence in finite-size Majorana wires at non-zero temperature
- Transport of Majorana Bound State in the presence of telegraph noise
- Transport and fusion of Majorana zero modes in the presence of nonadiabatic transitions
- Exchangeless braiding of Majorana zero modes in weakly coupled Kitaev chains
- Tight-Binding Energy-Phase Calculation for Topological Josephson Junction Nanowire Architecture