Perceptually AMQE-QLDPC coding for quantum image transmission over amplitude-damping channels

Area of Science:

• Quantum Information Science
• Quantum Communication
• Image Processing

Background:

• Practical quantum hardware has limited qubit counts, restricting large-scale quantum error correction (QEC) for multimedia.
• Hybrid quantum-classical approaches are needed to leverage quantum resources efficiently.

Purpose of the Study:

• To propose a resource-efficient hybrid framework for high-quality quantum media transmission, specifically for image data.
• To address the limitations of applying full-scale QEC to every pixel in quantum image transmission.

Main Methods:

• A hybrid framework combining Adaptive Multi-Qubit Encoding (AMQE) with selective Quantum Low-Density Parity-Check (QLDPC) codes.
• Image partitioning based on local variance to assign importance scores.
• Encoding high-importance blocks using multi-qubit superposition states within a QLDPC code and low-importance blocks with AMQE.
• Modeling the channel with amplitude-damping noise and using Belief Propagation-Ordered Statistics Decoding (BP-OSD).

Main Results:

• The selective protection strategy decouples perceptual quality from physical noise limits.
• Maintained a Peak Signal-to-Noise Ratio (PSNR) above 40 dB in noise regimes where classical methods fail.
• Achieved Structural Similarity Index Measure (SSIM) above 0.98, preserving key visual features.
• Outperformed Quantum Polar codes at finite block lengths due to BP-OSD decoding.

Conclusions:

• The proposed hybrid framework offers a resource-efficient pathway for high-quality quantum media transmission.
• Selective QLDPC protection demonstrates robust preservation of image fidelity under realistic noise conditions.
• The architecture shows superior performance compared to other quantum codes for practical applications.