I have $n*k$ qubits. At the very beginning the length of the state vector is $2^{nk}$. After some manipulations (Qiskit circuit) I reduce it to $k^n$ and it looks like $a|1...\rangle +a|0...\rangle ...$ Now I want to "eliminate " the $|0...\rangle$ components, and keep only the $|1...\rangle$ ones, if possible with the same coefficient for all (equiprobability).
Applying Grover I can find $c|1...\rangle +d|0...\rangle ...$
with $c >> d$, but I guess there is a simpler and more efficient method. But which one?