Quantum Communication based Image Transmission over Error-Prone Channels with Three-Qubit Stabilizer Code

As quantum communication emerges as a key technology for the future, it offers promising solutions to the limitations of classical communication systems. However, quantum communication also vulnerable to various forms of channel noise, which can introduce errors during transmission. Quantum error correction methods are critical to mitigating these errors, thereby preserving the integrity and reliability of quantum communication systems. In this study, we explore the effectiveness of the three-qubit stabilizer code for transmitting images over noisy quantum channels. We conduct a comparative analysis between the three-qubit stabilizer code and 1/3 rate polar codes, assessing their performance across uncompressed images, as well as Joint Photographic Experts Group (JPEG) and High-Efficiency Image Format (HEIF) images. Our findings indicate that the three-qubit stabilizer code offers significant advantages in quantum communication, achieving the Peak Signal-to-Noise Ratio (PSNR) up to infinity and the Structural Similarity Index Measure (SSIM) up to 1 for uncompressed images. For JPEG images, it achieves the PSNR up to 58.27 dB and the SSIM up to 0.9994, while for HEIF images, the PSNR reaches up to 64.72 dB and the SSIM up to 0.9999. These results highlight the three-qubit stabilizer code as a highly effective approach for enhancing the robustness of quantum communication systems.