  A hybrid device comprising a (Al)GaAs quantum dot heterostructure and a
LiNbO$_3$ surface acoustic wave resonator is fabricated by heterointegration.
High acoustic quality factors $Q>4000$ are demonstrated for an operation
frequency $f\approx 300$ MHz. The measured large quality factor-frequency
products $Q\times f>10^{12}$ ensures the suppression of decoherence due to
thermal noise for temperatures exceeding $T>50\,\mathrm{K}$. Frequency and
position dependent optomechanical coupling of single quantum dots and the
resonator modes is observed.
