I am missing something very fundamental here.
When we're talking about optical losses along a fibre optic path, I imagine those are due to photons being absorbed or scattered, so the number of photons reduces over distance.
However, for this quantum entanglement stuff, we're talking about *individual* photons (one of an entangled pair), right?
Now, if a photon arrives at one of these repeaters, and is re-sent as a fresh photon, surely it's still just a photon? Is this new photon any more likely to get absorbed in the next 10km (say) than the original one was? Do photons carry a memory of how long they have been travelling, and therefore get "tired" and need to be replaced by a "fresh" photon every so often?
Alternatively, I can imagine that instead of single photons, bursts of photons with some sort of similar entanglement are sent, and over distance the numbers will go down as they are absorbed. But in that case, wouldn't the repeater need to replace one incoming photon with two or more identical outgoing photons, in order to make the numbers back up again?