"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 ...

The beautiful mathematical and geometric structure of the code is remarkable, as most high-rate quantum codes have complicated structures. Goto emphasizes that in order for the new codes to result in ...

Several techniques can be used to efficiently implement a Hamming coder for single-bit error correction and double-bit error detection. Many error-correcting codes ...