Braiding Majorana zero modes using quantum dots
arXiv:1805.09330 · doi:10.1103/PhysRevB.98.165426
Abstract
We discuss a network of Kitaev wires coupled to several individually-tunable quantum dots as an extension of the recent experiments on a quantum dot coupled to a nanowire hosting Majorana zero modes [Deng et al. Science 354 1557 (2016) and Deng et al. arXiv:1712.03536 (2017)]. The setup features localized Majorana modes with exact zero energy and we show that they can be manipulated by solely acting on the quantum dots. A braiding process can be obtained by arranging three wires as a trijunction and a charge readout of the quantum dots can be used to reveal the non-Abelian statistics of Majorana zero modes. The setup can be scaled up to serve the more advanced purposes of topological quantum computation.
arXiv comment14 pages, 10 figures
References in corpus (96)
- 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
- 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
- Spins in few-electron quantum dots
- 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
- Electron transport through double quantum dots
- Non-Abelian statistics and topological quantum information processing in 1D wire networks
- Universal Quantum Computation with ideal Clifford gates and noisy ancillas
- 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
- Realizing Majorana zero modes in superconductor-semiconductor heterostructures
- 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
- Anomalous modulation of a zero bias peak in a hybrid nanowire-superconductor device
- Majorana fermions in chains of magnetic atoms on a superconductor
- Topological Superconductivity and Majorana Fermions in RKKY Systems
- Quantized Majorana conductance
- Milestones toward Majorana-based quantum computing
- Non-Abelian quantum order in spin-orbit-coupled semiconductors: The search for topological Majorana particles in solid state systems
- Instantaneous non-local computation of low T-depth quantum circuits
- The Heisenberg Representation of Quantum Computers
- Majorana Fermions in Semiconductor Nanowires: Fundamentals, Modeling, and Experiment
- Andreev bound states versus Majorana bound states in quantum dot-nanowire-superconductor hybrid structures: Trivial versus topological zero-bias conductance peaks
- Majorana fermions emerging from magnetic nanoparticles on a superconductor without spin-orbit coupling
- Majorana Fermions and Topology in Superconductors
- End states and subgap structure in proximity-coupled chains of magnetic adatoms
- Magic state distillation with low overhead
- Flux-controlled quantum computation with Majorana fermions
- 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
- Double quantum dot with integrated charge sensor based on Ge/Si heterostructure nanowires
- Measurement-Only Topological Quantum Computation
- Rapid Single-Shot Measurement of a Singlet-Triplet Qubit
- Universal Quantum Computation with the nu=5/2 Fractional Quantum Hall State
- Universal fault-tolerant quantum computation with only transversal gates and error correction
- Self-Consistent Measurement and State Tomography of an Exchange-Only Spin Qubit
- Nonlocality of Majorana Modes in Hybrid Nanowires
- Two-dimensional platform for networks of Majorana bound states
- High-resolution studies of the Majorana atomic chain platform
- Measuring Majorana non-locality and spin structure with a quantum dot
- Two terminal charge tunneling: Disentangling Majorana zero modes from partially separated Andreev bound states in semiconductor-superconductor heterostructures
- Majorana bound states in non-homogeneous semiconductor nanowires
- Controlling non-Abelian statistics of Majorana fermions on Majorana dimer lattices
- Spin Relaxation in Ge/Si Core-Shell Nanowire Qubits
- Novel constructions for the fault-tolerant Toffoli gate
- Dispersive Readout of a Few-Electron Double Quantum Dot with Fast rf Gate-Sensors
- SNS junctions in nanowires with spin-orbit coupling: role of confinement and helicity on the sub-gap spectrum
- Adiabatic manipulations of Majorana fermions in a three-dimensional network of quantum wires
- Charge and spin state readout of a double quantum dot coupled to a resonator
- Universal quantum computation on a semiconductor quantum wire network
- Adaptive tuning of Majorana fermions in a quantum dot chain
- Majorana splitting from critical currents in Josephson junctions
- Majorana fermion exchange in quasi-one-dimensional networks
- Fast charge sensing of a cavity-coupled double quantum dot using a Josephson parametric amplifier
- Distinguishing topological Majorana bound states from trivial Andreev bound states: Proposed tests through differential tunneling conductance spectroscopy
- Multiple Andreev reflection and critical current in topological superconducting nanowire junctions
- On controlling the bound states in quantum-dot hybrid-nanowire
- An experimentally accessible quality factor for Majorana wires
- Non-adiabatic Effects in the Braiding of Non-Abelian Anyons in Topological Superconductors
- Measurement-Only Topological Quantum Computation via Anyonic Interferometry
- Manipulating Majorana fermions using supercurrents
- Non-adiabatic processes in Majorana qubit systems
- Shortcuts to nonabelian braiding
- Fano Resonances in Majorana Bound States - Quantum Dot Hybrid Systems
- Parity meter for charge qubits: an efficient quantum entangler
- A Radio Frequency Charge Parity Meter
- How to infer non-Abelian statistics and topological invariants from tunneling conductance properties of realistic Majorana nanowires
- Andreev spectrum and supercurrents in nanowire-based SNS junctions containing Majorana bound states
- Majorana Braiding Dynamics on Nanowires
- Measurement-Only Topological Quantum Computation via Tunable Interactions
- Topological Phase Detection in Rashba Nanowires with a Quantum Dot
- Robustness of quantum memories based on Majorana zero modes
- Dynamics of Majorana-based qubits operated with an array of tunable gates
- Distilling one-qubit magic states into Toffoli states
- Coupling and braiding Majorana bound states in networks defined in proximitized two-dimensional electron gases
- Radio frequency charge sensing in InAs nanowire double quantum dots
- Readout of Majorana parity states using a quantum dot
- Probing non-Abelian statistics with Majorana fermion interferometry in spin-orbit-coupled semiconductors
- Probability and (Braiding) Statistics in Majorana nanowires
- A practical phase gate for producing Bell violations in Majorana wires
- Majorana fermion exchange in strictly one dimensional structures
- Braiding of non-Abelian anyons using pairwise interactions
- Fast readout of a single Cooper-pair box using its quantum capacitance
- Quantum memories with zero-energy Majorana modes and experimental constraints
Cited by in corpus (25)
- Search for non-Abelian Majorana braiding statistics in superconductors
- The multi-terminal Josephson effect
- Quantifying wave-function overlaps in inhomogeneous Majorana nanowires
- Non-Abelian Braiding of Chiral Majorana Fermions by Quantum Dots
- Photon assisted braiding of Majorana fermions in a cavity
- Manipulating Majorana zero modes in double quantum dots
- Fusion rules in a Majorana single-charge transistor
- Experimental review on Majorana zero-modes in hybrid nanowires
- Kitaev chain with a quantum dot
- Optimizing the transport of Majorana zero modes in one-dimensional topological superconductors
- Detecting Majorana modes by readout of poisoning-induced parity flips
- Transport Signatures of a Majorana Qubit and Read-out-induced Dephasing
- Majorana phase-gate based on the geometric phase
- A double quantum dot defined by top gates in a single crystalline InSb nanosheet
- Multi-level effects in quantum-dot based parity-to-charge conversion of Majorana box qubits
- Moving Majorana bound states between distinct helical edges across a quantum point contact
- Transport probe of nonadiabatic transition caused by Majorana moving
- A Model for Topological p-wave Superconducting Wires with Disorder and Interactions
- Braiding Induced by Finite-Size Effect in One-Dimensional Topological Superconductors
- 4 and 8 dual Josephson effects induced by symmetry defects
- Fingerprints of Majorana bound states in quantum-rings
- Transport of Majorana Bound State in the presence of telegraph noise
- Fusion Rules of Majorana-Kramer-Pairs in Time-Reversal-Invariant Topological Superconductors
- Shuttling Majorana zero modes in disordered and noisy topological superconductors
- Josephson and persistent currents in a quantum ring between topological superconductors