Detection and Manipulation of Majorana Fermions in Circuit QED

Abstract

Motivated by recent experimental progress towards the measurement and manipulation of Majorana fermions with superconducting circuits, we propose a device interfacing Majorana fermions with circuit quantum electrodynamics. The proposed circuit acts as a charge parity detector changing the resonance frequency of a superconducting $\lambda /4$ - resonator conditioned on the parity of charges on nearby gates. Operating at both charge and flux sweet spots, this device is highly insensitive to environmental noise. It enables high-fidelity single-shot quantum non demolition readout of the state of a pair of Majorana fermions encoding a topologically protected qubit. Additionally, the interaction permits the realization of an arbitrary phase gate on the topological qubit, closing the loop for computational completeness. Away from the charge sweet spot, this device can be used as a highly sensitive charge detector with a sensitivity better than $10^{-4}\text{e}/\sqrt{\text{Hz}}$ and bandwidth larger than $1$ MHz.

13 pages, 11 figures

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Cited by in corpus (27)

• Realization of microwave quantum circuits using hybrid superconducting-semiconducting nanowire Josephson elements
• Fast quantum non-demolition readout from longitudinal qubit-oscillator interaction
• A complete non-perturbative renormalization prescription for quasi-PDFs
• Transversity parton distribution functions from lattice QCD
• Rapid Driven Reset of a Qubit Readout Resonator
• Tunability of microwave transitions as a signature of coherent parity mixing effects in the Majorana-Transmon qubit
• Cavity QED with hybrid nanocircuits: from atomic-like physics to condensed matter phenomena
• Breaking time-reversal symmetry with a superconducting flux capacitor
• Cavity quantum electrodynamics with mesoscopic topological superconductors
• Magnetic field resilient high kinetic inductance superconducting niobium nitride coplanar waveguide resonators
• Direct cavity detection of Majorana pairs
• Fermion parity measurement and control in Majorana circuit quantum electrodynamics
• Majorana oscillations and parity crossings in semiconductor-nanowire-based transmon qubits
• Josephson effect in topological superconducting rings coupled to a microwave cavity
• Spectral response of Josephson junctions with low-energy quasiparticles
• Superconducting islands with semiconductor-nanowire-based topological Josephson junctions
• Progress in superconductor-semiconductor topological Josephson junctions
• Robust interface between flying and topological qubits
• Quantum memories with zero-energy Majorana modes and experimental constraints
• Electron-photon interaction in a quantum point contact coupled to a microwave resonator
• Correlated parity measurements as a probe of non-abelian statistics in 1D superconducting wires
• Probing coherent Cooper pair splitting with cavity photons
• Pump-probe scheme for electron-photon dynamics in hybrid conductor-cavity systems
• Minimal circuit for a flux-controlled Majorana qubit in a quantum spin-Hall insulator
• Topological Josephson Bifurcation Amplifier: Semiclassical theory
• Microwave signatures of ${\mathbb{Z}}_2$ and ${\mathbb{Z}}_4$ fractional Josephson effects
• Electron-photon coupling in Mesoscopic Quantum Electrodynamics