Fig. 1. Quantum corrosion and expansion circuit diagrams. (a) Corrosion; (b) Expansion

Fig. 2. Flow chart of edge detection algorithm of quantum binary morphology

Fig. 3. Structure element diagram of quantum denoising processing

Fig. 4. Quantum circuit diagram of binary morphological denoising processing

Fig. 5. Structure element diagram of quantum edge extraction

Fig. 6. Binary morphological edge extraction quantum circuit diagram

Fig. 7. Schematic diagram of initial binary image

Fig. 8. Probability histogram of edge extraction measurement results

Fig. 9. Simulation results of quantum circuit. (a) Denoising processing result diagram F; (b) Etched edge extraction diagram $E_{\mathrm{e}}$ ;(c) Expansive edge extraction diagram $E_{\mathrm{d}}$ ; (d) Morphological gradient edge extraction map $E_{\mathrm{g}}$

Fig. 10. Photographer binary image

Fig. 11. Simulation results of the photographer's binary image. (a) Denoising processing result diagram F; (b) Etched edge extraction diagram $E_{\mathrm{e}}$ ; (c) Expansive edge extraction diagram $E_{\mathrm{d}}$ ; (d) Morphological gradient edge extraction map $E_{\mathrm{g}}$