Abstract
Recently, photon-subtracted Gaussian states (PSGSs), which well approximate superpositions of coherent states (SCSs) with small amplitudes, were generated by several experimental groups. We compare the ideal SCSs and the PSGSs for experimental tests of certain types of Bell inequalities. In particular, we analyze the effects of the key experimental components used to generate PSGSs: mixedness of the Gaussian states, limited transmittivity of the beam splitter, and an avalanche photodetector that cannot resolve photon numbers. As a result of this analysis, the degrees of mixedness and the beam splitter transmittivity that can be allowed for successful tests of Bell inequalities are revealed.
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