Capacitance-based Fermion parity read-out and predicted Rabi oscillations in a Majorana nanowire
arXiv:2406.18080 · doi:10.1103/p8qg-p1fp
Abstract
Recent experiments have measured flux dependent capacitance at radio frequencies leading to the potential for a fast parity read-out of a Majorana qubit. In this work we argue that the quantum dot used in the capacitance measurement can be reasonably approximated by a non-interacting weakly coupled orbital. We then predict the measured flux and parity dependent capacitance for several parameter regimes of the disordered Majorana nanowire model that are both topological and trivial. Following this we study how such a fast capacitance read-out can be used to characterize the quantum coherence of a Majorana nanowire-based qubit using Rabi oscillations. We additionally show that such measurements, if made possible by coherent inter-wire tunneling, would provide a valuable way of characterizing the low energy states in the frequency domain.
arXiv comment11 pages, 6 figures
References in corpus (33)
- Unpaired Majorana fermions in quantum wires
- Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
- Helical liquids and Majorana bound states in quantum wires
- Coherent control of macroscopic quantum states in a single-Cooper-pair box
- Scalable Designs for Quasiparticle-Poisoning-Protected Topological Quantum Computation with Majorana Zero Modes
- Quantum Effects in Coulomb Blockade
- Andreev bound states versus Majorana bound states in quantum dot-nanowire-superconductor hybrid structures: Trivial versus topological zero-bias conductance peaks
- Electron Teleportation via Majorana Bound States in a Mesoscopic Superconductor
- Near-zero-energy end states in topologically trivial spin-orbit coupled superconducting nanowires with a smooth confinement
- Quantum Coherence in a One-Electron Semiconductor Charge Qubit
- Transport spectroscopy of NS nanowire junctions with Majorana fermions
- Towards a realistic transport modeling in a superconducting nanowire with Majorana fermions
- Fractional ac Josephson effect in p- and d-wave superconductors
- Observing Majorana Bound States in p-wave Superconductors Using Noise Measurements in Tunneling Experiments
- Majorana box qubits
- Reproducing topological properties with quasi-Majorana states
- Physical mechanisms for zero-bias conductance peaks in Majorana nanowires
- Topological Kondo effect with Majorana fermions
- InAs-Al Hybrid Devices Passing the Topological Gap Protocol
- Robustness of Majorana fermions in 2D topological superconductors
- Braiding without Braiding: Teleportation-Based Quantum Information Processing with Majorana Zero Modes
- Testable signatures of quantum non-locality in a two-dimensional chiral p-wave superconductor
- A Tutorial on Quantum Master Equations: Tips and tricks for quantum optics, quantum computing and beyond
- Effects of the electrostatic environment on the Majorana nanowire devices
- How to infer non-Abelian statistics and topological invariants from tunneling conductance properties of realistic Majorana nanowires
- Strong coupling between an electron in a quantum dot circuit and a photon in a cavity
- Photon Assisted Tunneling of Zero Modes in a Majorana Wire
- Dephasing and leakage dynamics of noisy Majorana-based qubits: Topological versus Andreev
- A proposal to probe quantum non-locality of Majorana fermions in tunneling experiments
- Spectral properties, topological patches, and effective phase diagrams of finite disordered Majorana nanowires
- Probing a topological quantum critical point in semiconductor-superconductor heterostructures
- Density of states, transport, and topology in disordered Majorana nanowires
- Proposal for measuring the parity anomaly in a topological superconductor ring