Yaqi ZHANG, Ya ZHAO, Panchi LI. Quantum representation and morphological processing of binary image with arbitrary size[J]. Chinese Journal of Quantum Electronics, 2025, 42(1): 56

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- Chinese Journal of Quantum Electronics
- Vol. 42, Issue 1, 56 (2025)

Fig. 1. Quantum circuit of realizing uniform superposition of 63 basis states ( - )

Fig. 2. Quantum circuit of ASNEQR for a binary image with size of 15 × 29

Fig. 3. Quantum binary image dilation. (a) Quantum circuit; (b) Symbol representation; (c) Structure element

Fig. 4. Quantum binary image erosion. (a) Dilation symbol representation; (b) Erosion symbol representation

Fig. 5. Binary image copy. (a) Quantum circuit; (b) Symbol representation

Fig. 6. Open and close: Circuit (a) and symbol representation (b) of open; Circuit (c) and symbol representation (d) of close

Fig. 7. logic AND and logic OR. (a) Quantum circuit of AND; (b) AND symbol representation; (c) Quantum circuit of OR; (d) OR symbol representation

Fig. 8. Quantum circuit of binary image denoising

Fig. 9. Quantum circuit of binary image boundary extraction

Fig. 10. Skeleton extraction. (a) Quantum circuit of iteration; (b) Iteration symbol representation;(c) Quantum circuit of skeleton extraction

Fig. 11. Image denoising process. (a) Original image; (b) Structure element; (c) Open image; (d) Close image

Fig. 12. Boundary extraction process. (a) Original image; (b) Structure element; (c) Erosion image; (d) Result image

Fig. 13. Skeleton extraction process. (a) Original image; (b) Structure element; (c) Iteration curve; (d) Result image
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Table 1. Complexity of some basic modules and quantum circuits

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