  We study $q$-deformed coherent states of the Arik-Coon harmonic oscillator as
the quantum resource in the post-selected weak measurement. First, we show how
the precision of weak measurement is improved significantly due to
$q$-deformation. Next, we focus on the role of the interplay between the
deformation parameter and the interaction strength on the nonclassical nature
of light. In particular, we show that sub-Poissonian photon distribution as
characterized by Mandel parameter, photon antibunching effect, and quadrature
squeezing are greatly enhanced by $q$-deformation. Our results not only advance
the understanding of the fundamentals of $q$-deformed quantum mechanics, but
also raise the potential to contribute to quantum technologies.
