Hypergeometric Solutions for the $q$-Painlev\'e Equation of type $E_6^{(1)}$ by Pad\'e Method

The $q$-Painlev'e equation of type $E_6^{(1)}$ is obtained by Pad'e method. Special solutions in determinant formula to the $q$-Painlev'e equation is presented. A relation between Pad'e method and B"acklund transformation of type $E_6^{(1)}$ is given.