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|Title:||Graph concatenation for quantum codes|
|Source:||Beigi, S., Chuang, I., Grassl, M., Shor, P., Zeng, B. (2011-02-03). Graph concatenation for quantum codes. Journal of Mathematical Physics 52 (2) : -. ScholarBank@NUS Repository. https://doi.org/10.1063/1.3534799|
|Abstract:||Graphs are closely related to quantum error-correcting codes: every stabilizer code is locally equivalent to a graph code and every codeword stabilized code can be described by a graph and a classical code. For the construction of good quantum codes of relatively large block length, concatenated quantum codes and their generalizations play an important role. We develop a systematic method for constructing concatenated quantum codes based on "graph concatenation," where graphs representing the inner and outer codes are concatenated via a simple graph operation called "generalized local complementation." Our method applies to both binary and nonbinary concatenated quantum codes as well as their generalizations. © 2011 American Institute of Physics.|
|Source Title:||Journal of Mathematical Physics|
|Appears in Collections:||Staff Publications|
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