Quantum resource theory of coding for error correction
Quantum Physics
2024-09-17 v1
Abstract
Error-correction codes are central for fault-tolerant information processing. Here we develop a rigorous framework to describe various coding models based on quantum resource theory of superchannels. We find, by treating codings as superchannels, a hierarchy of coding models can be established, including the entanglement assisted or unassisted settings, and their local versions. We show that these coding models can be used to classify error-correction codes and accommodate different computation and communication settings depending on the data type, side channels, and pre-/postprocessing. We believe the coding hierarchy could also inspire new coding models and error-correction methods.
Cite
@article{arxiv.2409.09416,
title = {Quantum resource theory of coding for error correction},
author = {Dong-Sheng Wang and Yuan-Dong Liu and Yun-Jiang Wang and Shunlong Luo},
journal= {arXiv preprint arXiv:2409.09416},
year = {2024}
}