Information reconciliation for QKD with rate-compatible non-binary LDPC codes

We study information reconciliation (IR) scheme for the quantum key distribution (QKD) protocols. The IR for the QKD can be considered as the asymmetric Slepian-Wolf problem, which low-density parity-check (LDPC) codes can solve with efficient algorithms, i.e., the belief propagation. However, the LDPC codes are needed to be chosen properly from a collection of codes optimized for multiple key rates, which leads to complex decoder devices and performance degradation for unoptimized key rates. Therefore, it is desired to establish an IR scheme with a single LDPC code which supports multiple rates. To this end, in this paper, we propose an IR scheme with a rate-compatible nonbinary LDPC code. Numerical results show the proposed scheme achieves IR efficiency comparable to the best know conventional IR schemes with lower decoding error rates.

• Type: Journal
• Year: 2010
• Where: ISITA
• Authors: Kenta Kasai, Ryutaroh Matsumoto, Kohichi Sakaniwa
• Keywords: Communications, IR Scheme, ISITA 2010, Key Rates, Ldpc Code