  Transferring quantum information between distant nodes of a network is a key
capability. This transfer can be realized via remote state preparation where
two parties share entanglement and the sender has full knowledge of the state
to be communicated. Here we demonstrate such a process between heterogeneous
nodes functioning with different information encodings, i.e., particle-like
discrete-variable optical qubits and wave-like continuous-variable ones. Using
hybrid entanglement of light as a shared resource, we prepare arbitrary
coherent-state superpositions controlled by measurements on the distant
discrete-encoded node. The remotely prepared states are fully characterized by
quantum state tomography and negative Wigner functions are obtained. This work
demonstrates a novel capability to bridge discrete- and continuous-variable
platforms.
