  We address nonclassicality of hybrid coherent states (HCS), i.e. states
expressed as superpositions of coherent states and single-photon-added coherent
(SPAC) state. In particular, we evaluate their photon statistics, squeezing,
and negativity of the Wigner function. Our results indicated that HCS may
exhibit larger nonclassicalities than SPAC state. We also suggest a generation
scheme for HCS which involves Kerr nonlinearity and postselection.
