We propose a scheme for the conditional generation of arbitrary finite superpositions of (squeezed) Fock states in a single mode of a traveling optical field. The suggested setup requires only a source of squeezed states, beam splitters, strong coherent beams, and photodetectors with single-photon sensitivity. The method does not require photodetectors with a high efficiency nor with a single-photon resolution.
@article{arxiv.quant-ph/0503111,
title = {Conditional generation of arbitrary single-mode quantum states of light by repeated photon subtractions},
author = {Jaromir Fiurasek and Raul Garcia-Patron and Nicolas J. Cerf},
journal= {arXiv preprint arXiv:quant-ph/0503111},
year = {2009}
}