  We employ techniques from quantum estimation theory (QET) to estimate the
Lorentz violation parameters in the 1+3-dimensional flat spacetime. We obtain
and discuss the expression of the quantum Fisher information (QFI) in terms of
the Lorentz violation parameter $\sigma_0$ and the momentum k of the created
particles. We show that the maximum QFI is achieved for a specific momentum
$k_{\mathrm{max}}$. We also find that the optimal precision of estimation of
the Lorentz violation parameter is obtained near the Planck scale.
