  Cavity magnomechanics, exhibiting remarkable experimental tunability, rich
magnonic nonlinearities, and compatibility with various quantum systems, has
witnessed considerable advances in recent years. However, the potential
benefits of using cavity magnomechanical (CMM) systems in further improving the
performance of quantum-enhanced sensing for weak forces remain largely
unexplored. Here we show that the performance of a quantum CMM sensor can be
significantly enhanced beyond the standard quantum limit (SQL), by squeezing
the magnons. We find that, for comparable parameters, two orders of enhancement
in force sensitivity can be achieved in comparison with the case without the
magnon squeezing. Moreover, we show optimal parameter regimes of homodyne angle
for minimizing added quantum noise. Our findings provide a promising approach
for highly tunable and compatible quantum force sensing using hybrid CMM
devices, with potential applications ranging from quantum precision
measurements to quantum information processing.
