Controlled quantum teleportation between discrete and continuous physical systems

Quantum teleportation of an unknown state basing on the interaction between discrete-valued states (DV) and continuous-valued (CV) presented a particular challenge in quantum technologies. Here we consider problem controlled amplitude-matched CV qubit, encoded by coherent varied phase as superposition vacuum- single-photon optical among two distant partners Alice Bob, with consent controller, Charlie. To achieve this task, use hybrid tripartite entangled (interaction discrete continuous variables states) resource where part belongs to Alice, while Bob Charlie qubit is at disposal Alice. The discrete-continuous realized highly transmissive beam-splitter. We have shown that perfectly fidelity depends difference teleport sender's mode, found for which approaches 0 or $\pi$, near perfect can be obtained terms independently amplitude $\alpha$ squeezing parameter $\zeta$. Experimentally, proposed scheme has been implemented using linear components such beam splitter, shifters photon counters.