Quantum encoder for fixed Hamming-weight subspaces

Renato M. S. Farias, Thiago O. Maciel, Giancarlo Camilo +3

We present an exact $n$-qubit computational-basis amplitude encoder of real- or complex-valued data vectors of $d=\left(\genfrac{}{}{0ex}{}{n}{k}\right)$ components into a subspace of fixed Hamming weight $…