Perceptually AMQE–QLDPC Coding for Quantum Image Transmission over Amplitude Damping Channels

Recent advances in quantum communication and quantum error correction (QEC) have motivated hybrid architectures that exploit quantum resources to enhance multimedia transmission. However, practical quantum hardware remains constrained in qubit count, making it unrealistic to apply full scale QEC to every pixel of an image. To address this, we propose a hybrid framework combining Adaptive Multi-Qubit Encoding (AMQE) with selective Quantum Low-Density Parity-Check (QLDPC) protection. The proposed solution is demonstrated for the case of image data. Our work provides a resource efficient pathway for high quality quantum media transmission. The system partitions the image into blocks and assigns an importance score based on local variance. High importance blocks structural features are encoded into multi-qubit superposition states and embedded into the logical subspace of a high rate Lifted Product QLDPC code. Low importance blocks background are transmitted with lightweight AMQE encoding. We model the channel using realistic amplitude damping noise. Numerical simulations show that this selective protection strategy decouples perceptual quality from physical noise limits. The proposed architecture maintains a Peak Signal-to-Noise Ratio (PSNR) above 40 dB in noise regimes where classical baselines fail. The framework also retains high structural fidelity, maintaining the Structural Similarity Index Measure (SSIM) more than 0.98, confirming robust preservation of key visual features under amplitude damping noise. Furthermore, we demonstrate that the proposed QLDPC architecture outperforms Quantum Polar codes at finite block lengths due to the steeper error suppression slope of the Belief Propagation - Ordered Statistics Decoding (BP – OSD).