Optomechanics investigates the reciprocal interactions between light and mechanical motion. The field has recently completed major advance, including breaking into the quantum regime of the optomechanical interaction, with the demonstration of the preparation and detection of quantum macroscopic motional states. The premises of these milestones are to be found in the breakthrough of nano-optomechanical systems in the early 2010, which have demonstrated the ability to harness large light-matter interactions at the nanoscale for ultra-high sensitivity optomechanical purposes. So far, the sensitivity limits of these systems has been treated along an approach similar to that developed for their macroscopic counterparts, assuming both Gauss conditions and unitarity. These hypotheses, however, must be revised with nano- optomechanical systems, which may presently be operated orders of magnitude away from their sensitivity potential. Indeed, theoretical considerations for the Cramér-Rao bound, which defines the ultimate limit of precision for parameter estimation, suggest that these systems are far from reaching their optimal performance. This internship is part of a project aiming at addressing the fundamental limits of nano-optomechanical coupling using quantum information theory-driven wavefront shaping.