Quantum error‐correcting codes (QECCs) have emerged as a crucial instrument in the quest to realise reliable quantum information processing. These codes utilise sophisticated mathematical frameworks ...

This paper sets a foundation for the study of linear codes over finite rings. The finite Frobenius rings are singled out as the most appropriate for coding theoretic purposes because two classical ...

A quaternary linear code is a linear space over the ring of integers modulo 4. Recent research in coding theory shows that many famous nonlinear codes such as the Nordstrom and Robinson (1967) code ...

Expertise from Forbes Councils members, operated under license. Opinions expressed are those of the author. The recent announcement of Google’s new quantum chip, Willow, is an important milestone ...