Algebraic Quantum Codes: Linking Quantum Mechanics and Discrete Mathematics
Information Theory
2022-03-08 v1 Combinatorics
math.IT
Quantum Physics
Abstract
We present a general framework of quantum error-correcting codes (QECCs) as a subspace of a complex Hilbert space and the corresponding error models. Then we illustrate how QECCs can be constructed using techniques from algebraic coding theory. Additionally, we discuss secondary constructions for QECCs, leading to propagation rules for the parameters of QECCs.
Cite
@article{arxiv.2011.06996,
title = {Algebraic Quantum Codes: Linking Quantum Mechanics and Discrete Mathematics},
author = {Markus Grassl},
journal= {arXiv preprint arXiv:2011.06996},
year = {2022}
}
Comments
19 pages; written for both mathematicians and physicists