Simulating the dynamics of braiding of Majorana zero modes using an IBM quantum computer

TL;DR

This paper demonstrates the simulation of Majorana zero modes braiding dynamics on an IBM quantum computer, overcoming noise issues with pulse-level control to provide the first experimental evidence of braiding via dynamical Hamiltonian evolution.

Contribution

It introduces pulse-level control techniques to improve quantum gate fidelity for simulating Majorana braiding, enabling experimental observation of the phenomenon.

Findings

Native gates introduce excessive noise for braiding observation

Pulse-level control improves gate fidelity and simulation accuracy

First experimental evidence of Majorana braiding via Hamiltonian evolution

Abstract

We simulate the dynamics of braiding Majorana zero modes on an IBM Quantum computer. We find the native quantum gates introduce too much noise to observe braiding. Instead, we use Qiskit Pulse to develop scaled two-qubit quantum gates that better match the unitary time evolution operator and enable us to observe braiding. This work demonstrates that quantum computers can be used for simulation, and highlights the use of pulse-level control for programming quantum computers and constitutes the first experimental evidence of braiding via dynamical Hamiltonian evolution.