  Multimode optical fibers represent the ideal platform for transferring
multidimensional light states. However, dispersion degrades the correlations
between the light's degrees of freedom, thus limiting the effective transport
of ultrashort pulses between distant nodes of optical networks. Here, we
demonstrate that tailoring the spatiotemporal structure of ultrashort light
pulses can overcome the physical limitations imposed by both chromatic and
modal dispersion in multimode optical fibers. We synthesize these light states
with predefined spatial and chromatic dynamics through applying a sequence of
transformations to shape the optical field in all its dimensions. Similar
methods can also be used to overcome dispersion processes in other physical
settings like acoustics and electron optics. Our results will enable
advancements in laser-based technologies, including multimode optical
communications, imaging, ultrafast light-matter interactions, and high
brightness fiber sources.
