A recent paper that also gives an overview of the topic is <A HREF="http://philsci-archive.pitt.edu/16676/1/meehan-a-new-problem-for-quantum-mechanics.pdf">A new problem for quantum mechanics</A> by A. Meehan (2020).

You may also want to look at <A HREF="https://doi.org/10.1063/1.4940696">The preparation of states in quantum mechanics</A> by Fröhlich and Schubnel (2016).

Neither paper aims at efficient experimental implementations, for that perspective a recent paper is <A HREF="https://doi.org/10.1103/PhysRevResearch.4.013091">Quantum state preparation protocol for encoding classical data into the amplitudes of a quantum information processing register's wave function</A> by S. Ashhab (2022).