Entanglement distribution of W-State over different locations

Recall that the W state may be defined as:

$$vert Wrangle=frac{1}{sqrt 3}(vert 001rangle+vert 010rangle+vert 100rangle.$$

Given three qubits, initially to prepare such a state local operations (wherein at least two of the three qubits are at the same location) will need to be performed. Depending on your background, see, for example, this question for some circuits that can prepare such states.

However, once prepared each of the three qubits may "go their own way", and measurement on any one of the three qubits will collapse the other two. For example measuring the rightmost qubit to be in the state $vert 1rangle$ will collapse the first two to be in the state $vert 00rangle$. All three qubits can be lightyears apart.

And certainly one can define the generalized $vert W_nrangle$ state on $n$ qubits, as a uniform superposition over the $n$ one-hot basis states. For example $vert W_4rangle$ would be defined as:

$$vert W_4rangle=frac 1 2(vert 0001rangle+vert 0010rangle+vert 0100rangle+vert 1000rangle).$$

In this pairs of each of the four qubits will need to be local to each other in order to prepare the state, but then afterwards each of the four can be at a different location.

Take note that once one qubit is measured the other qubits are irrevocably collapsed. If you want to repeat the experiment you will need to bring the qubits back together again to re-prepare the state.