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

Abstract

We preform dynamic state evolution on an IBM quantum computer using a simulation of braiding Majorana zero modes as a benchmark for success. We find the native quantum gates introduce too much noise to observe braiding. Instead, we use Qiskit Pulse to develop scaled 2-qubit quantum gates that better match the unitary time evolution operator and enable us to observe braiding. This paper 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.