In contrast, as shown in Figure 3, the PSNR values for JPEG images exhibit results similar to HEIF, indicating that the adaptive coding based quantum communication system outperforms the adaptive coding based classical communication system, achieving a PSNR value up to 58 dB. This suggests that JPEG generally achieves lower PSNR scores than HEIF across all SNR levels, highlighting that HEIF maintains superior image quality during transmission, particularly in noisy environments. This further reinforces HEIF’s efficiency in compression and resilience to transmission errors. Importantly, the use of this adaptive coding method allows us to achieve higher PSNR values and better error resilience compared to fixed-rate channel coding systems.