Beyond Stabilizer Codes
Year: 2000
Type: preprint
Abstract: 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 is given by an extraspecial p-group. Suppose that the abstract error group has an abelian index group, then we show that a Clifford code can be derived from an abelian normal subgroup.
Source: arXiv (Cornell University)
Authors: Andreas Klappenecker, Martin Roetteler
Language: English
Subfield: Artificial Intelligence
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2791314058