On the Performance of Interleavers for Quantum Turbo Codes

Area of Science:

• Quantum Information Science
• Quantum Communication Systems
• Error Correction Codes

Background:

• Quantum turbo codes (QTCs) demonstrate high performance in quantum communication, nearing theoretical hashing bounds.
• Current QTCs rely on uniform random interleavers, a design aspect crucial for classical turbo codes.

Purpose of the Study:

• To investigate the impact of classical interleaving design principles on QTC performance.
• To explore methods for optimizing QTCs by adapting established classical interleaving techniques.

Main Methods:

• Applying classical interleaving design strategies to the construction of QTCs.
• Leveraging the classical-to-quantum isomorphism for method integration.
• Conducting simulations to evaluate performance metrics.

Main Results:

• Significant reduction in error floors for QTCs through optimized interleaving.
• Demonstrated decrease in memory consumption with proper interleaver design.
• Maintained overall system decoding complexity without augmentation.

Conclusions:

• Classical interleaving design is a viable and effective method for enhancing QTC performance.
• Optimized interleavers offer a pathway to more efficient and robust quantum communication systems.
• This approach provides a practical method for improving QTCs without compromising computational overhead.