Multi-Error-Correcting Amplitude Damping Codes
Runyao Duan, Markus Grassl, Zhengfeng Ji, Bei Zeng
TL;DR
This paper introduces new multi-error-correcting quantum codes tailored for the amplitude damping channel, leveraging a novel simulation technique to improve error correction capabilities over previous codes.
Contribution
It presents a novel construction of degenerate stabilizer codes that simulate a quantum erasure channel, enhancing error correction for amplitude damping errors.
Findings
Codes outperform previous amplitude damping codes
Simulation of amplitude damping as erasure channel enables better correction
Degenerate stabilizer codes with improved parameters
Abstract
We construct new families of multi-error-correcting quantum codes for the amplitude damping channel. Our key observation is that, with proper encoding, two uses of the amplitude damping channel simulate a quantum erasure channel. This allows us to use concatenated codes with quantum erasure-correcting codes as outer codes for correcting multiple amplitude damping errors. Our new codes are degenerate stabilizer codes and have parameters which are better than the amplitude damping codes obtained by any previously known construction.
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