Topological Quantum Computation Based on Chiral Majorana Fermions

TL;DR

This paper proposes a new platform for topological quantum computation using chiral Majorana fermions in hybrid devices, demonstrating how their propagation can implement quantum gates and enable qubit readout.

Contribution

It introduces a novel approach to quantum computation based on chiral Majorana fermions, linking their propagation to braiding operations and proposing a practical device implementation.

Findings

Chiral Majorana fermions can perform unitary transformations similar to Majorana zero mode braiding.

A Corbino ring junction can implement Hadamard and phase gates.

Junction conductance can serve as a qubit readout mechanism.

Abstract

Chiral Majorana fermion is a massless self-conjugate fermion which can arise as the edge state of certain two-dimensonal topological matters. It has been theoretically predicted and experimentally observed in a hybrid device of quantum anomalous Hall insulator and a conventional superconductor. Its closely related cousin, Majorana zero mode in the bulk of the corresponding topological matter, is known to be applicable in topological quantum computations. Here we show that the propagation of chiral Majorana fermions lead to the same unitary transformation as that in the braiding of Majorana zero modes, and propose a new platform to perform quantum computation with chiral Majorana fermions. A Corbino ring junction of the hybrid device can utilize quantum coherent chiral Majorana fermions to implement the Hadamard gate and the phase gate, and the junction conductance yields a natural readout for the qubit state.