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Quantum Pin Codes.
- Source :
- IEEE Transactions on Information Theory; Sep2022, Vol. 68 Issue 9, p5955-5974, 20p
- Publication Year :
- 2022
-
Abstract
- We introduce quantum pin codes: a class of quantum CSS codes. Quantum pin codes are a generalization of quantum color codes and Reed-Muller codes and share a lot of their structure and properties. Pin codes have gauge operators, an unfolding procedure and their stabilizers form so-called $\ell $ -orthogonal spaces meaning that the joint overlap between any $\ell $ stabilizer elements is always even. This last feature makes them interesting for devising magic-state distillation protocols, for instance by using puncturing techniques. We study examples of these codes and their properties. [ABSTRACT FROM AUTHOR]
- Subjects :
- REED-Muller codes
COLOR codes
QUANTUM computing
LOGIC circuits
Subjects
Details
- Language :
- English
- ISSN :
- 00189448
- Volume :
- 68
- Issue :
- 9
- Database :
- Complementary Index
- Journal :
- IEEE Transactions on Information Theory
- Publication Type :
- Academic Journal
- Accession number :
- 158603989
- Full Text :
- https://doi.org/10.1109/TIT.2022.3170846