  Noise can be considered the natural enemy of quantum information. An often
implied benefit of high-dimensional entanglement is its increased resilience to
noise. However, manifesting this potential in an experimentally meaningful
fashion is challenging and has never been done before. In infinite dimensional
spaces, discretisation is inevitable and renders the effective dimension of
quantum states a tunable parameter. Owing to advances in experimental
techniques and theoretical tools, we demonstrate an increased resistance to
noise by identifying two pathways to exploit high-dimensional entangled states.
Our study is based on two separate experiments utilising canonical
spatio-temporal properties of entangled photon pairs. Following these different
pathways to noise resilience, we are able to certify entanglement in the
photonic orbital-angular-momentum and energy-time degrees of freedom up to
noise conditions corresponding to a noise fraction of 72 % and 92 %
respectively. Our work paves the way towards practical quantum communication
systems that are able to surpass current noise and distance limitations, while
not compromising on potential device-independence.
