A Method of Constructing CSS Codes with LDPC Codes for the BB84 Quantum Key Distribution Protocol
Maki Ohata, Kanta Matsuura · arXiv (Cornell University) · 2007
In this paper, we propose how to construct a pair of linear codes simply for the BB84 quantum key distribution protocol. This protocol allows unconditional security in the presence of an eavesdropper, and the pair of linear codes is used for error correction and privacy amplification. Since their high decoding performance implies low eavesdropper's mutual information, the design of the two good codes is required. The proposed method admits the use of arbitrary low-density parity-check (LDPC) codes. Hence, this approach has low complexity and high performance for hardware implementation. Simulation results show that the pair of codes performs well against practical and various noise levels.