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CSS code

Class of quantum error correcting codes From Wikipedia, the free encyclopedia

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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 .

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