Steganographic Continuous Variable Entanglement Sharing and Quantum Communication

In a previous work we have discussed how classical information may be transmitted secretly in a channel which mimics a given thermal noise channel with fidelity approaching 1. In this work we will demonstrate that the same channel may be used for the transmission of continuous variable entanglement, even in the presence of an eavesdropper with significant capabilities. We will also show that this entanglement is suitable for concentration into highly entangled states, for teleportation of classical coherent states with quantum advantage, and for teleportation of useful nonclassical states while preserving their nonclassical character, even with an eavesdropper present. We examine the usefulness of these states as primitives for GKP state preparation even in the presence of the eavesdropper and for the teleportation of GKP encoded qubits.