2021/07/13 by Kadir Gümüş, Gümüs, Kadir, Laurent Schmalen +1 · 3 citations
Computer Science · Engineering · #Cryptography and Security (cs.CR) #Error Correcting Code Techniques #FOS: Computer and information sciences #Information Theory (cs.IT) #Optical Network Technologies #Quantum Computing Algorithms and Architecture
paper · pdf · doi:10.48550/arxiv.2107.06242
openalex publication_date 2021/07/13 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28
Error correction plays a major role in the reconciliation of continuous\nvariable quantum key distribution (CV-QKD) and greatly affects the performance\nof the system. CV-QKD requires error correction codes of extremely low rates\nand high reconciliation efficiencies. There are only very few code designs\navailable in this ultra low rate regime. In this paper, we introduce a method\nfor designing protograph-based ultra low rate LDPC codes using differential\nevolution. By proposing type-based protographs, a new way of representing low\nrate protograph-based LDPC codes, we drastically reduce the complexity of the\nprotograph optimization, which enables us to quickly design codes over a wide\nrange of rates. We show that the codes resulting from our optimization\noutperform the codes from the literature both in regards to the threshold and\nin finite-length performance, validated by Monte-Carlo simulations, showing\ngains in the regime relevant for CV-QKD.\n