CSS code

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.

and

be two (classical)

[ n ,

codes such, that

both have minimal distance

is the code dual to

Then define

{\displaystyle {\text{CSS}}(C_{1},C_{2})}

, the CSS code of

code, with

as follows: Define for

is bitwise addition modulo 2.

{\displaystyle {\text{CSS}}(C_{1},C_{2})}

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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