Physics – Quantum Physics
Scientific paper
2007-09-12
Physics
Quantum Physics
7 pages and 3 figures
Scientific paper
We introduce a purely graph-theoretical object, namely the coding clique, to construct quantum errorcorrecting codes. Almost all quantum codes constructed so far are stabilizer (additive) codes and the construction of nonadditive codes, which are potentially more efficient, is not as well understood as that of stabilizer codes. Our graphical approach provides a unified and classical way to construct both stabilizer and nonadditive codes. In particular we have explicitly constructed the optimal ((10,24,3)) code and a family of 1-error detecting nonadditive codes with the highest encoding rate so far. In the case of stabilizer codes a thorough search becomes tangible and we have classified all the extremal stabilizer codes up to 8 qubits.
Chen Qing
Oh Chang-Heon
Yu Sixia
No associations
LandOfFree
Graphical Quantum Error-Correcting Codes does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Graphical Quantum Error-Correcting Codes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Graphical Quantum Error-Correcting Codes will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-21953