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 ...

"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 ...

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 ...

Unlike binary bits of information in ordinary computers, “qubits” consist of quantum particles that have some probability of being in each of two states, designated |0 and |1 , at the same time. When ...

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 ...

The same codes needed to thwart errors in quantum computers may also give the fabric of space-time its intrinsic robustness. Unlike binary bits of information in ordinary computers, “qubits” consist ...