Readout of Majorana bound states via Landau-Zener transition

Abstract

Reading out Majorana bound states (MBSs) is essential both to verify their non-Abelian property and to realize topological quantum computation. Here, we construct a protocol to measure the parity of two MBSs in a Majorana island coupled to double quantum dot (DQD). The parity information is mapped to the charge state of the DQD through Landau-Zener transition. The operation needed is sweeping the bias of the DQD, which is followed by charge sensing. In the case without fine-tuning, a single run of sweep-and-detection implement a weak measurement of the parity. We find that in general a sequence of about ten runs would completely project a superposition state to either parity, and the charge detection in each run records how the state of MBSs collapses step by step. Remarkably, this readout protocol is of non-demolition and robust to low frequency charge fluctuation.

arXiv comment7 pages, 5 figures

References in corpus (55)

• Non-Abelian Anyons and Topological Quantum Computation
• 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
• Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
• Non-abelian statistics of half-quantum vortices in p-wave 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
• Observation of the fractional ac Josephson effect: the signature of Majorana particles
• Exponential Protection of Zero Modes in Majorana Islands
• Majorana bound states in a coupled quantum-dot hybrid-nanowire system
• Landau-Zener-Stuckelberg interferometry
• 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
• Scalable Designs for Quasiparticle-Poisoning-Protected Topological Quantum Computation with Majorana Zero Modes
• Milestones toward Majorana-based quantum computing
• Scaling of Majorana Zero-Bias Conductance Peaks
• Manipulation of a single charge in a double quantum dot
• Quantum Coherence in a One-Electron Semiconductor Charge Qubit
• Ballistic Majorana nanowire devices
• Measurement-Only Topological Quantum Computation
• Majorana box qubits
• Non-Abelian operations on Majorana fermions via single charge control
• Zero-Energy Modes from Coalescing Andreev States in a Two-Dimensional Semiconductor-Superconductor Hybrid Platform
• Experimental Phase Diagram of a One-Dimensional Topological Superconductor
• Anyonic interferometry without anyons: How a flux qubit can read out a topological qubit
• Top-transmon: hybrid superconducting qubit for parity-protected quantum computation
• Dissipative Landau-Zener transitions of a qubit: bath-specific and universal behavior
• Universal quantum computation on a semiconductor quantum wire network
• Quantum information transfer between topological and spin qubit systems
• Topological quantum buses: coherent quantum information transfer between topological and conventional qubits
• Universal Quantum Computation with Hybrid Spin-Majorana Qubits
• Topological quantum computation away from the ground state with Majorana fermions
• How quickly can anyons be braided? Or: How I learned to stop worrying about diabatic errors and love the anyon
• Measurement-only quantum computation with Majorana corner modes
• Spin-dependent coupling between quantum dots and topological quantum wires
• Weak measurement protocols for Majorana bound state identification
• Readout of Majorana Qubits
• Parity-to-charge conversion in Majorana qubit readout
• Readout of Majorana parity states using a quantum dot
• Rapid detection of coherent tunneling in an InAs nanowire quantum dot through dispersive gate sensing
• Parity-to-charge conversion for readout of topological Majorana qubits
• Charge noise and overdrive errors in reflectometry-based charge, spin and Majorana qubit readout
• Robust Majorana magic gates via measurements
• Tunable interfaces for realizing universal quantum computation with topological qubits
• Number conserving analysis of measurement-based braiding with Majorana zero modes
• Revealing charge-tunneling processes between a quantum dot and a superconducting island through gate sensing
• Majorana Qubit Readout Using Longitudinal Qubit-Resonator Interaction
• Feasibility of measurement-based braiding in the quasi-Majorana regime of semiconductor-superconductor heterostructures
• Effects of decoherence on diabatic errors in Majorana braiding
• Processing Quantum Information in Hybrid Topological Qubit and Superconducting Flux Qubit System
• Measurement-only topological quantum computation without forced measurements
• Majorana phase-gate based on the geometric phase
• Multi-particle interferometry in the time-energy domain with localized topological quasiparticles

Cited by in corpus (5)

• Nonadiabatic Landau-Zener-Stückelberg-Majorana transitions, dynamics, and interference
• Recent progress on Majorana in semiconductor-superconductor heterostructures--Engineering and detection
• Signatures of Majorana bound states and parity effects in two-dimensional chiral p-wave Josephson junctions
• Quantum nonequilibrium dynamics from Knizhnik-Zamolodchikov equations
• Parity readout in Majorana box qubits from the dispersive to the resonant regime