We propose a scheme to prepare optical Schr\"odinger-cat states in a traveling wave setting. Two states are similarly prepared via the self-Kerr effect and after mixing them, one mode is measured by homodyne detection. In the other mode a superposition of coherent states is conditionally prepared. The advantage of the scheme is that assuming a small Kerr effect one can prepare with high probability one from a set of Schr\"odinger-cat states. The measured value of the quadrature provides the information, which state from the set is actually prepared.
@article{arxiv.1511.06538,
title = {Double self-Kerr scheme for optical Schr\"odinger-cat state preparation},
author = {P. Adam and Z. Darázs and T. Kiss and M. Mechler},
journal= {arXiv preprint arXiv:1511.06538},
year = {2015}
}