Parity check codes Archives - IEEE Transactions on Quantum Engineering

Rateless Protograph LDPC Codes for Quantum Key Distribution

February 2, 2024Alberto Tarable, Rudi Paolo Paganelli, Marco Ferrari,Quantum InternetCodes, Parity check codes, Photonics, Protocols, Quantum channels, Quantum key distribution, Qubit

Information reconciliation (IR) is a key step in quantum key distribution (QKD). In recent years, blind reconciliation based on low-density parity-check (LDPC) codes has replaced Cascade as a standard de facto since it guarantees efficient IR without a priori quantum bit error rate estimation and with limited interactivity between the parties, which is essential in […]

Log-Domain Decoding of Quantum LDPC Codes Over Binary Finite Fields

A quantum stabilizer code over GF(q) corresponds to a classical additive code over GF(q2) that is self-orthogonal with respect to a symplectic inner product. We study the decoding of quantum low-density parity-check (LDPC) codes over binary finite fields GF(q = 2l) by the sum-product algorithm, also known as belief propagation (BP). Conventionally, a message in a nonbinary BP for quantum codes […]