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 ...

Today’s quantum computing hardware is severely limited in what it can do by errors that are difficult to avoid. There can be problems with everything from setting the initial state of a qubit to ...

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 ...

While noise can show up anywhere, ECC also can correct deterministic errors, such as those caused by faulty cells. This makes it possible to develop a design and test strategy that leverages some of ...

The FEC on a CD uses interleaving and layering. A short {32, 28} code is used to correct errors read from the track. Any it cannot correct are marked as erasures and the result is de-interleaved. The ...