Once this becomes practical, we have practically infinite data storage, not to mention the underpinnings of computing with pure light, so perhaps practically infinite computational speed as well.
So it was "just like" what was there, but not "the same" photon in the sense the photon did not exist for a while, and was recreated. And at the same time it was also "the same" photon, in the sense that the before and after photons are not distinguishable.
It should be noted that the "no cloning" theorem adds a twist: It says you can not copy a photon. This means that the matter that stored the photon can not be induced to create another one (like a hologram does).
So in that sense it was the "same" photon - because you can only ever create the original, and no additionals.
I think, if you understand quantum physics, it's meaningless to say that it's a "new beam of light with identical properties." If it "has the same properties", then it is the "same beam of light." It doesn't just look the same. It is the same in a physical (and meta-physical?) sense.
Then again, I don't really understand quantum physics, so I might be misunderstanding this. I'm telling you what I picked up from Eliezer Yudkowsky's series on quantum electrodynamics.
Perhaps a physicist can elaborate?
You can think of it as information (bits). The same information that was encoded was decoded later.
It is not as if photons are items on the macro scale, that were somehow labeled (for example, photon #134), then disappeared and reappeared and the scientists compared the label and proclaimed that its the same photon (#134).
We still call it reflected light as though the photons somehow bounce off. They don't. They get adsorbed and are then re-emitted. But they might as well be the same ones because we can not tell the difference.
There are variations on this, specular reflection (think of a mirror) and diffuse reflection (think of a wall), the difference lies in the direction of the outgoing photons.
Quantum theory doesnt quite work like that.
Currently, quantum encryption setups require a fiber optic cable to reach all the way from the sender to the recipient, because repeaters would destroy the entanglement. But with this device, you could store the data in a Bose-Einstein condensate, ship it to the destination, then read the data back out.
How can they reach the conclusion that the original light beam itself was altered from this experiment?