  High-rate generation of hybrid photon-matter entanglement remains a
fundamental building block of quantum network architectures enabling protocols
such as quantum secure communication or quantum distributed computing. While a
tremendous effort has been made to overcome technological constraints limiting
the efficiency and coherence times of current systems, an important
complementary approach is to employ parallel and multiplexed architectures.
Here we follow this approach experimentally demonstrating the generation of
bipartite polarization-entangled photonic states across more than 500 modes,
with a programmable delay for the second photon enabled by qubit storage in a
wavevector multiplexed cold-atomic quantum memory. We demonstrate Clauser,
Horne, Shimony, Holt inequality violation by over 3 standard deviations,
lasting for at least 45 {\mu}s storage time for half of the modes. The ability
to shape hybrid entanglement between the polarization and wavevector degrees of
freedom provides not only multiplexing capabilities but also brings prospects
for novel protocols.
