We proposed and analyzed a scheme to generate large-size Schr\"{o}dinger cat states based on linear operations of Fock states and squeezed vacuum states and conditional measurements. By conducting conditional measurements via photon number detectors, two unbalanced Schr\"{o}dinger kitten states combined by a beam splitter can be amplified to a large-size cat state with the same parity. According to simulation results, two Schr\"{o}dinger odd kitten states of β=1.06 and β=1.11 generated from one-photon-subtracted squeezed vacuum states of −3 dB, are amplified to an odd cat state of β=1.73 with a fidelity of F=99%. A large-size Schr\"{o}dinger odd cat state with β=2.51 and F=97.30% is predicted when the input squeezed vacuum states are increased to −5.91 dB. According to the analysis on the impacts of experimental imperfections in practice, Schr\"{o}dinger odd cat states of β>2 are available. A feasible configuration based on a quantum frequency comb is developed to realize the large-size cat state generation scheme we proposed.
@article{arxiv.2112.13791,
title = {Amplification of optical Schr\"{o}dinger cat states with implementation protocol based on frequency comb},
author = {Hongbin Song and Guofeng Zhang and Xiaoqiang Wang and Hidehiro Yonezawa and Kaiquan Fan},
journal= {arXiv preprint arXiv:2112.13791},
year = {2022}
}