  Entanglement distribution between distant parties is one of the most
important and challenging tasks in quantum communication. Distribution of
photonic entangled states using optical fiber links is a fundamental building
block towards quantum networks. Among the different degrees of freedom, orbital
angular momentum (OAM) is one of the most promising due to its natural
capability to encode high dimensional quantum states. In this article, we
experimentally demonstrate fiber distribution of hybrid polarization-vector
vortex entangled photon pairs. To this end, we exploit a recently developed
air-core fiber which supports OAM modes. High fidelity distribution of the
entangled states is demonstrated by performing quantum state tomography in the
polarization-OAM Hilbert space after fiber propagation, and by violations of
Bell inequalities and multipartite entanglement tests. The present results open
new scenarios for quantum applications where correlated complex states can be
transmitted by exploiting the vectorial nature of light.
