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 ...
The researchers have proven PLANAR's effectiveness on surface codes under particular noise conditions and plan to adapt it for non-planar graphs with finite genus, opening the door to broader use in ...
"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 ...
Error-correcting codes are fundamental tools in ensuring the reliability of data transmission and storage by incorporating redundancy that enables the detection and correction of errors. Over recent ...