Quantum error‐correcting codes (QECCs) have emerged as a crucial instrument in the quest to realise reliable quantum information processing. These codes utilise sophisticated mathematical frameworks ...

Number parity duality and non-distributive arithmetic lead to a nonlinear error-correcting code over ℤ which generalizes linear Hamming codes. Journal Information One of the ways that Pi Mu Epsilon ...

"Our quantum error-correcting code has a greater than 1/2 code rate, targeting hundreds of thousands of logical qubits," explains Kasai. "Moreover, its decoding complexity is proportional to the ...

Many types of error-correcting techniques exist, but in data communications, Hamming encoding probably finds the widest use. Unlike serial-port communications that use a single parity bit, Hamming ...