  The quantum-corrected black hole model demonstrates significant potential in
the study of gravitational lensing effects. By incorporating quantum effects,
this model addresses the singularity problem in classical black holes. In this
paper, we investigate the impact of the quantum correction parameter on the
lensing effect based on the quantum corrected black hole model. Using the black
holes $M87^*$ and $Sgr A^*$ as our subjects, we explore the influence of the
quantum correction parameter on angular position, Einstein ring, and time
delay. Additionally, we use data from the Event Horizon Telescope observations
of black hole shadows to constrain the quantum correction parameter. Our
results indicate that the quantum correction parameter significantly affects
the lensing coefficients $\bar{a}$ and $\bar{b}$, as well as the Einstein ring.
The position $\theta_{\infty}$ and brightness ratio $S$ of the relativistic
image exhibit significant changes,with deviations on the order of magnitude of
$\sim 1\mu as$ and $\sim 0.01\mu as$, respectively. The impact of the quantum
correction parameter on the time delay $\Delta T_{21}$ is particularly
significant in the $M87^*$ black hole, with deviations reaching up to several
tens of hours. Using observational data from the Event Horizon Telescope(EHT)
of black hole shadows to constrain the quantum correction parameter, the
constraint range under the $M87^*$ black hole is $0\le \frac{\alpha}{M^2}\le
1.4087$ and the constraint range under the $Sgr A^*$ black hole is $0.9713\le
\frac{\alpha}{M^2}\le 1.6715$ . Although the current resolution of the EHT
limits the observation of subtle differences, future high-resolution telescopes
are expected to further distinguish between the quantum-corrected black hole
and the Schwarzschild black hole, providing new avenues for exploring quantum
gravitational effects.
