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.


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  .


Nielsen, Michael A.; Chuang, Isaac L. (2010). Quantum Computation and Quantum Information (2nd ed.). Cambridge: Cambridge University Press. ISBN 978-1-107-00217-3. OCLC 844974180.

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