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We study how photon addition and subtraction can be used to generate squeezedsuperpositions of coherent states in free-traveling fields (SSCSs) with highfidelities and large amplitudes. It is shown that an arbitrary $N$-photonsubtraction results in the generation of a SSCS with nearly the perfectfidelity ($F>0.999$) regardless of the number of photons subtracted. In thiscase, the amplitude of the SSCS increases as the number of the subtractedphotons gets larger. For example, two-photon subtraction from a squeezed vacuumstate of 6.1dB can generate a SSCS of $\alpha=1.26$, while in the case of thefour-photon subtraction a SSCS of a larger amplitude $\alpha=1.65$ is obtainedunder the same condition. When a photon is subtracted from a squeezed vacuumstate and another photon is added subsequently, a SSCS with a lower fidelity($F\approx 0.96$) yet higher amplitude ($\alpha\approx2$) can be generated. Weanalyze some experimental imperfections including inefficiency of the detectorused for the photon subtraction.

Generating "squeezed" superpositions of coherent states using photon addition and subtraction