# Uniform superposition of states with one qubit set to $|1\rangle$ and others to $|0\rangle$

I am wondering what a circuit should look like if I want to prepare the state of the following form: $$|0\rangle^{\otimes n} \mapsto \dfrac{ |1000\ldots0\rangle + |0100\ldots0\rangle + |0010\ldots0\rangle + \ldots + |00\ldots001\rangle }{\sqrt{n}}$$ Is this something well-known and trivial?

You can also use method described in paper Transformation of quantum states using uniformly controlled rotations for preparing W-state with any qubits you want. When you use this method, set probability of states $$|10\dots0 \rangle$$, $$|01\dots 0\rangle$$,...$$|00\dots1 \rangle$$ to $$\frac{1}{n}$$ and probability of other states to zero.