Generalized Concatenation for Quantum Codes
Markus Grassl, Peter W. Shor, Bei Zeng
TL;DR
This paper introduces a generalized concatenation method to construct high-quality quantum error-correcting codes, combining quantum inner codes with classical outer codes, resulting in many new stabilizer and nonadditive codes.
Contribution
It presents a novel generalized concatenation technique for quantum codes, enabling the creation of numerous new good codes including stabilizer and nonadditive types.
Findings
Many new good quantum codes discovered
Includes both stabilizer and nonadditive codes
Method enhances quantum code construction
Abstract
We show how good quantum error-correcting codes can be constructed using generalized concatenation. The inner codes are quantum codes, the outer codes can be linear or nonlinear classical codes. Many new good codes are found, including both stabilizer codes as well as so-called nonadditive codes.
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