Moving Majorana bound states between distinct helical edges across a quantum point contact
arXiv:1909.06280 · doi:10.1103/PhysRevResearch.1.033212
Abstract
Majorana bound states are zero-energy excitations of topological superconductors which obey non-Abelian exchange statistics and are basic building blocks for topological quantum computation. In order to observe and exploit their extraordinary properties, we need to be able to properly manipulate them, for instance, by braiding a couple of them in real space. We propose a setup based on the helical edges of two-dimensional topological insulators (2DTI) which allows for a high degree of tunability by only controlling a handful of superconducting phases. In particular, our setup allows to move the Majoranas along a single edge as well as to move them across two different edges coupled by a quantum point contact. Robustness against non-optimal control of the phases is also discussed. This proposal constitutes an essential step forward towards realizing 2DTI-based architectures capable of performing braiding of Majoranas in a feasible way.
arXiv comment16 pages, 8 figures
References in corpus (53)
- Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
- Non-Abelian Anyons and Topological Quantum Computation
- Quantum Spin Hall Insulator State in HgTe Quantum Wells
- 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
- 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
- Search for Majorana fermions in superconductors
- Observation of Majorana Fermions in a Nb-InSb Nanowire-Nb Hybrid Quantum Device
- Exponential Protection of Zero Modes in Majorana Islands
- Majorana bound states in a coupled quantum-dot hybrid-nanowire system
- Josephson Current and Noise at a Superconductor-Quantum Spin Hall Insulator-Superconductor Junction
- Evidence for Helical Edge Modes in Inverted InAs/GaSb Quantum Wells
- Majorana mode in vortex core of Bi2Te3/NbSe2 topological insulator-superconductor heterostructure
- Milestones toward Majorana-based quantum computing
- Scaling of Majorana Zero-Bias Conductance Peaks
- Evidence of topological superconductivity in planar Josephson junctions
- -periodic Josephson supercurrent in HgTe-based topological Josephson junctions
- End states and subgap structure in proximity-coupled chains of magnetic adatoms
- Zero-bias anomaly in a nanowire quantum dot coupled to superconductors
- Ballistic Majorana nanowire devices
- Coulomb-assisted braiding of Majorana fermions in a Josephson junction array
- Probing Atomic Structure and Majorana Wavefunctions in Mono-Atomic Fe-chains on Superconducting Pb-Surface
- Topological Superconductivity in a Phase-Controlled Josephson Junction
- Spin polarization of the quantum spin Hall edge states
- Gapless Andreev bound states in the quantum spin Hall insulator HgTe
- Majorana qubit decoherence by quasiparticle poisoning
- Topological Superconductivity in a Planar Josephson Junction
- High-resolution studies of the Majorana atomic chain platform
- Measuring Majorana non-locality and spin structure with a quantum dot
- Multi-terminal Josephson junctions as topological materials
- Parity lifetime of bound states in a proximitized semiconductor nanowire
- Failure of protection of Majorana based qubits against decoherence
- Quantizing Majorana Fermions in a Superconductor
- Nonlocal Josephson effect in Andreev molecules
- Interacting topological edge channels
- Proposal for the detection and braiding of Majorana fermions in a quantum spin Hall insulator
- Odd-Frequency Triplet Superconductivity at the Helical Edge of a Toplogical Insulator
- Deterministic creation and braiding of chiral edge vortices
- Microwave signatures of Majorana states in a topological Josephson junction
- Braiding Majorana zero modes using quantum dots
- Detection of Majorana Kramers pairs using a quantum point contact
- Tunable hybridization of Majorana bound states at the quantum spin Hall edge
- Evidence for Majorana bound states in transport properties of hybrid structures based on helical liquids
- Electronic Hong-Ou-Mandel interferometry in two-dimensional topological insulators
- Quantum Hall Effect in a Josephson Junction
- Full electrostatic control of quantum interference in an extended trenched Josephson junction
- Detecting the Exchange Phase of Majorana Bound States in a Corbino Geometry Topological Josephson Junction
- Finite temperature effects on Majorana bound states in chiral -wave superconductors
- Tuning Majorana zero modes with temperature in -phase Josephson junctions
Cited by in corpus (9)
- The multi-terminal Josephson effect
- Thermal signature of Majorana fermions in Josephson junction
- Majorana-induced DC Shapiro steps in topological Josephson junctions
- Thermodynamics in topological Josephson junctions
- Planar Josephson Hall effect in topological Josephson junctions
- Holonomic implementation of CNOT gate on topological Majorana qubits
- Spin-resolved spectroscopy of helical Andreev bound states
- Anomalous flux periodicity in proximitised quantum spin Hall constrictions
- Identification of odd-frequency superconducting pairing in Josephson junctions