Majorana qubit rotations in microwave cavities

TL;DR

This paper demonstrates how microwave cavity electric fields can induce Rabi oscillations in Majorana bound states, enabling universal single-qubit operations when combined with braiding.

Contribution

It introduces a method to perform arbitrary single-qubit gates on Majorana qubits using microwave-induced Rabi oscillations, expanding their computational capabilities.

Findings

Microwave electric fields induce Rabi oscillations in Majorana states.

Rabi oscillations enable single-qubit gate implementation.

Combined with braiding, universal quantum operations are achievable.

Abstract

Majorana bound states have been proposed as building blocks for qubits on which certain operations can be performed in a topologically protected way using braiding. However, the set of these protected operations is not sufficient to realize universal quantum computing. We show that the electric field in a microwave cavity can induce Rabi oscillations between adjacent Majorana bound states. These oscillations can be used to implement an additional single-qubit gate. Supplemented with one braiding operation, this gate allows to perform arbitrary single-qubit operations.