EFFECTS OF DISORDER AND NOISE IN TOPOLOGICAL MAJORANA QUBITS (Exploring Topological Qubits Stability in Noisy and Disordered Environments)

Work package:
Rapid advances in quantum technologies have led to the emergence of platforms aimed at realizing Majorana qubits, which promise fault-tolerant quantum computing due to their topological protection against decoherence. However, in real-world applications, noise and disorder and their interactions pose significant problems, so their subtle interplay needs to be better understood at the theoretical level to fully exploit Majorana qubits. This research project aims to study such non-trivial effects on the coherence and stability of Majorana qubits. It will be based mainly on theoretical approaches using state-of-the-art numerical techniques to simulate and analyze qubit dynamics under different experimental conditions Methodology The project will begin with non-interacting models to understand the basics of Majorana qubits from the Kitaev chain model. From there, weak interactions will be introduced to simulate more realistic experimental conditions. The student will develop and use numerical codes capable of simulating large qubit arrays, focusing on the combined effects of disorder, noise, and interactions. There will be a collaborative part with leading experimental groups to test the theoretical models, particularly focusing on systems like the PASQAL machine and artificial qubit chains based on fluxonium circuits.