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 ...

"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 ...

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 ...