What is relation between Holographic principle and Hologram?
The holographic principle is a property of quantum gravity and string theories which states that the description of a volume of space can be thought of as encoded on a boundary to the region—preferably a light-like boundary like a gravitational horizon.
They are pretty much unrelated concepts.
The only similarity is that both the holographic principle and the way holograms work can be described as encoding the information necessary to reconstruct an $N$-dimensional view on an $N-1$-dimensional surface. But beyond that qualitative description, there are not any meaningful similarities.
