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 (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 .

gollark: ++delete power
gollark: hd!histohist
gollark: PotatOS Things may collect any information which PotatOS Things may collect. This includes information such as: Information you provide. If you provide information, this may be stored and used in order to provide PotatOS™ functionality. This includes information such as settings, which are stored locally so that they can be read and utilized, and your files, if you make files, which are stored on disk and potentially in RAM so that they can be read back and displayed. All user input or all executed code, if some debug settings such as Protocol Epsilon and Extended Monitoring are enabled Internally generated information which may be indirectly derived from user input, such as your device’s UPID1, some PotatOS Registry contents and system debug logs. ComputerCraft system configuration information and identification information, which is sent to SPUDNETv2/PIR and stored with incident reports to assist with debugging and/or handling the source of the reports. In certain jurisdictions, we may ask for a valid ID (from accepted countries such as Kazakhstan, the Democratic People’s Republic of Korea, Sealand, the Freeish State of Gollarkia, Desmethylway, the Harmonious Jade Dragon Empire, or the Untied States) in limited circumstances. This is only for purposes.
gollark: Project COMPARTMENTAL SLATS.
gollark: Besides, it's more of a thing run by heavpoot and me.

References

    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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