CSS code


In quantum error correction, CSS codes, named after their inventors, Robert Calderbank, Peter Shor and Andrew Steane, are a special type of Stabilizer codes constructed from classical codes with some special properties. An example of a CSS code is the Steane code.

Construction

Let and be two , codes such, that and both have minimal distance, where is the code dual to. Then define, the CSS code of over as an code, with as follows:
Define for , where is bitwise addition modulo 2. Then is defined as.