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 ...

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 ...

The labor was fruitful. Goto states that the codes appear to be the highest in the world when it comes to fault-tolerant quantum computing, as they achieve an encoding rate of up to 30%, which is a ...