Coherent manipulation of a Majorana qubit by a mechanical resonator

TL;DR

This paper proposes a hybrid system combining a Majorana qubit with a nanomechanical resonator, enabling coherent control of the qubit via mechanical oscillations and gate tuning, advancing quantum manipulation techniques.

Contribution

It introduces a novel hybrid system using ferromagnetic gates to manipulate Majorana qubits with mechanical resonators, demonstrating potential for quantum control.

Findings

Majorana qubit can be coherently rotated via mechanical oscillations.

Resonance can be achieved by tuning gate voltage and spin-orbit coupling.

Strong coupling regimes are accessible for quantum manipulation.

Abstract

We propose a hybrid system composed of a Majorana qubit and a nanomechanical resonator, implemented by a spin-orbit-coupled superconducting nanowire, using a set of static and oscillating ferromagnetic gates. The ferromagnetic gates induce Majorana bound states in the nanowire, which hybridize and constitute a Majorana qubit. Due to the oscillation of one of these gates, the Majorana qubit can be coherently rotated. By tuning the gate voltage to modulate the local spin-orbit coupling, it is possible to reach the resonance of the qubit-oscillator system for relatively strong couplings.