Nonbinary Quantum Codes from Hermitian Curves
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The extreme sensitivity of quantum information to ambient noise has prompted the study of quantum error-correcting codes. In this paper two families of quantum error-correcting codes are constructed based on Hermitian curves. Unlike the case of classical codes, it is a difficult, sometimes impossible, task to puncture a quantum stabilizer code. The puncture code of Hermitian codes is computed that allows one to determine the admissible puncturings. A large number of punctured Hermitian codes are derived by exploiting known facts about the weight distribution of these puncture codes. © Springer-Verlag Berlin Heidelberg 2006.
author list (cited authors)
Sarvepalli, P. K., & Klappenecker, A.
editor list (cited editors)
Fossorier, M., Imai, H., Lin, S., & Poli, A.