Beyond stabilizer codes II: Clifford codes
Copyright policy )Beyond stabilizer codes II: Clifford codes
Knill introduced a generalization of stabilizer codes, in this note called Clifford codes. It remained unclear whether or not Clifford codes can be superior to stabilizer codes. We show that Clifford codes are stabilizer codes provided that the abstract error group has an abelian index group. In particular, if the errors are modelled by tensor products of Pauli matrices, then the associated Clifford codes are necessarily stabilizer codes.
9 pages, LaTeX2e. Minor changes. Title changed by request of IEEE Trans. IT
- The University of Texas System United States
- Karlsruhe Institute of Technology Germany
- Hochschule für Musik Karlsruhe Germany
- Texas A&M University United States
FOS: Computer and information sciences, Quantum Physics, Emerging Technologies (cs.ET), Other types of codes, Computer Science - Emerging Technologies, FOS: Physical sciences, Quantum Physics (quant-ph)
FOS: Computer and information sciences, Quantum Physics, Emerging Technologies (cs.ET), Other types of codes, Computer Science - Emerging Technologies, FOS: Physical sciences, Quantum Physics (quant-ph)
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