This work describes a method for encoding low-density parity-check (LDPC) codes based on the accumulate-repeat-4-jagged-accumulate (AR4JA) scheme, using the low-density parity-check matrix H instead of the dense generator matrix G. Low-Density Parity-Check Code Design Techniques to Simplify Encoding Messages from check nodes are partially hard limited, so that every message which would otherwise have a magnitude at or above a certain level is re-assigned to a maximum magnitude. The decoding method decodes the low-density parity-check coded messages within a bipartite graph having check nodes and variable nodes. Method of Error Floor Mitigation in Low-Density Parity-Check CodesĪ digital communication decoding method for low-density parity-check coded messages. We demonstrate the implementation of a CPC code on real hardware, by designing a [[4, 2, 2 In this paper, we provide a detailed introduction to CPC codes using conventional quantum circuit notation. CPC codes have a canonical structure involving successive rounds of bit and phase parity checks, supplemented by cross- checks to fix the code distance.

Roffe, Joschka Headley, David Chancellor, Nicholas Horsman, Dominic Kendon, VivĬoherent parity check (CPC) codes are a new framework for the construction of quantum error correction codes that encode multiple qubits per logical block. Protecting quantum memories using coherent parity check codes

Parity checker 2d c program