Proposal for Coherent Coupling of Majorana Zero Modes and Superconducting Qubits Using the 4 pi-Josephson Effect

Abstract

We propose to use an ancilla fluxonium qubit to interact with a Majorana qubit hosted by a topological one-dimensional wire. The coupling is obtained using the Majorana qubit-controlled 4 pi Josephson effect to flux bias the fluxonium qubit. We demonstrate how this coupling can be used to sensitively identify the topological superconductivity, to measure the state of the Majorana qubit, to construct 2-qubit operations, and to implement quantum memories with the topological protection.

published version, 4 pages + references + supplemental material

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Cited by in corpus (45)

• Realization of microwave quantum circuits using hybrid superconducting-semiconducting nanowire Josephson elements
• Search for non-Abelian Majorana braiding statistics in superconductors
• 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
• Braiding of Atomic Majorana Fermions in Wire Networks and Implementation of the Deutsch-Josza Algorithm
• Cavity quantum electrodynamics with mesoscopic topological superconductors
• Observation of vanishing charge dispersion of a nearly-open superconducting island
• Understanding degenerate ground states of a protected quantum circuit in the presence of disorder
• A gate-tunable, field-compatible fluxonium
• Stabilization and control of Majorana bound states with elongated skyrmions
• Direct cavity detection of Majorana pairs
• Microwave spectroscopy of Josephson junctions in topological superconductors
• Fermion parity measurement and control in Majorana circuit quantum electrodynamics
• Anisotropic topological superconductivity in Josephson junctions
• Detection and Manipulation of Majorana Fermions in Circuit QED
• Entangling Spins in Double Quantum Dots and Majorana Bound States
• Braidonium: a braiding quantum circuit based on the $4\pi$ Josephson effect
• Vortex Majorana braiding in a finite time
• Microwave readout of Majorana qubits
• Majorana oscillations and parity crossings in semiconductor-nanowire-based transmon qubits
• Spectral response of Josephson junctions with low-energy quasiparticles
• Superconducting islands with semiconductor-nanowire-based topological Josephson junctions
• Spin Transfer of Quantum Information between Majorana Modes and a Resonator
• Braiding higher-order Majorana corner states through their spin degree of freedom
• Robust interface between flying and topological qubits
• Hybrid Topological Quantum Computation with Majorana Fermions: A Cold Atom Setup
• Coherent manipulation of a Majorana qubit by a mechanical resonator
• Thermal conductance as a probe of the non-local order parameter for a topological superconductor with gauge fluctuations
• Manipulating the Majorana Qubit with the Landau-Zener-Stückelberg Interference
• Superconducting Contact and Quantum Interference Between Two-Dimensional van der Waals and Three-Dimensional Conventional Superconductors
• Anomalous periodicity and parafermion hybridization in superconducting qubits
• Minimal circuit for a flux-controlled Majorana qubit in a quantum spin-Hall insulator
• A NOT operation on Majorana qubits with mobilizable solitons in an extended Su-Schrieffer-Heeger model
• Influences of electron-phonon interaction on quantum transport through one quantum-dot system with side-coupled Majorana zero mode
• Scanning qubit probe of edge states in a topological insulator
• Microwave Signatures of Topological Superconductivity in Planar Josephson Junctions
• Topological Josephson Bifurcation Amplifier: Semiclassical theory
• Physics of the Majorana-superconducting qubit hybrids
• Detecting fractional Josephson effect through $4\pi$ phase slip
• Majorana bound states with chiral magnetic textures
• Signatures of Topological Transitions in the Spin Susceptibility of Josephson Junctions
• Topological Quantum Infidelity
• Majorana edge and end states in planar Josephson junctions
• Changes of Kondo effect in the junction with DIII-class topological and $s$-wave superconductors
• SWAP gate between a Majorana qubit and a parity-protected superconducting qubit