  Device-Independent Quantum Key Distribution (DIQKD) aims to generate secret
keys between two parties without relying on trust in their employed devices,
imposing strict noise constraints for key generation. This study explores the
resilience of high-dimensional quantum systems in DIQKD, focusing on a
comparison between qubits and qutrits. Lower bounds on achievable key rates are
investigated through numerical optimization, while upper bounds are evaluated
using the Convex-Combination attack, which has been further extended to account
for arbitrary dimensions. The observed difference between these bounds provides
insights into noise thresholds and potential enhancements in DIQKD scenarios,
prompting debate on the merit of increased dimensions given the associated
experimental efforts required.
