An efficient hybrid hash based privacy amplification algorithm for quantum key distribution

The article introduces an innovative hybrid hash-based privacy amplification algorithm designed for quantum key distribution (QKD). Privacy amplification is crucial in QKD to enhance the security of the final key by distilling a highly secure key from a partially secure string. The proposed algorithm combines the strengths of Toeplitz hashing and modular arithmetic hashing, enabling efficient key splitting and compression. This combination results in a lower computation complexity and higher throughput, addressing the trilemma of large block size, high throughput, and low cost in privacy amplification. The algorithm's security is validated through comprehensive analysis, confirming it meets the same security standards as existing methods. The article also presents an implementation scheme on a CPU platform, demonstrating the algorithm's superior performance in terms of throughput, computational resource consumption, and final key rate. This research highlights the potential of the MMH-MH PA algorithm to significantly improve the performance and practicability of QKD systems, particularly in resource-sensitive environments.