  We formulate the "tensor-optimized high-momentum antisymmetrized molecular
dynamics (TO-HMAMD)" framework for ab initio calculations of nuclei by
hybridizing the tensor-optimized (TO-) and high-momentum (HM-) AMD approaches.
This hybrid approach has advantages in both analytical simplicity and numerical
efficiency comparing with other AMD-based methods which treat the bare
interaction, especially for heavier nuclear systems. In this work, the
$s$-shell nucleus $^{4}$He is calculated with TO-HMAMD by including up to
double product of nucleon-nucleon ($NN$) correlations, described by using
high-momentum pairs and spatial correlation functions of nucleons. The total
energy and radius of $^{4}$He nucleus are well reproduced using the
AV8$^\prime$ interaction. The spin-isospin channel dependence is also discussed
for $NN$-correlations, which are found to be mostly contributed in the
even-state channels, especially the triplet-even channel. Analyses of the
analytical formation and numerical results suggest that TO-HMAMD could be a
promising framework for general nuclear systems.
