We introduce Quantum Inner State manifolds (QIS manifolds) as (compact) $2n$-dimensional symplectic manifolds $(M,\kappa )$ endowed with a $\kappa$-tamed almost complex structure $J$ and with a nowhere vanishing and normalized section $ϵ$ of the bundle ${\Lambda }_J^{n,0}\left(M\right)$ satisfying the condition ${\overline{\partial }}_Jϵ=0$.We study the moduli space $𝔐$ of QIS deformations of a given Calabi-Yau manifold, computing its tangent space and showing that $𝔐$ is non obstructed. Finally, we present several examples of QIS manifolds.