Class of quantum error correcting codes
In quantum error correction, CSS codes, named after their inventors, Robert Calderbank, Peter Shor[1]
and Andrew Steane,[2] are a special type of stabilizer code constructed from classical codes with some special properties. An example of a CSS code is the Steane code.
Construction
Let and be two (classical) , 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 .