Recent observation of proximity effect \cite{Morpurgo:2007} has ignitedinterest in superconductivity in graphene and its derivatives. We considerCa-intercalated graphene bilayer and argue that it is a superconductor, andlikely with a sizeable $T_{c}$. We find substantial and suggestive similaritiesbetween Ca-intercalated bilayer (C$_{6}$CaC$_{6}$), and CaC$_{6} $, anestablished superconductor with $T_{c}$ = 11.5 K. In particular, the nearlyfree electron band, proven to be instrumental for superconductivity inintercalated graphites, does cross the chemical potential in (C$_{6}$CaC$%_{6}$), despite the twice smaller doping level, satisfying the so-called\textquotedblleft Cambridge criterion\textquotedblright . Calculated propertiesof zone-center phonons are very similar to those of CaC$%_{6}.$ This suggeststhat the critical temperature would probably be on the same scale as inCaC$_{6}$.
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