Recursive encoding and decoding of the noiseless subsystem for qudits
Quantum Physics
2014-04-07 v2
Abstract
We give a full explanation of the noiseless subsystem that protects a single-qubit against collective errors and the corresponding recursive scheme described by C.-K. Li et. al. [Phys. Rev. A 84, 044301 (2011)] from a representation theory point of view. Furthermore, we extend the construction to qudits under the influence of collective SU() errors. We find that under this recursive scheme, the asymptotic encoding rate is .
Keywords
Cite
@article{arxiv.1310.4401,
title = {Recursive encoding and decoding of the noiseless subsystem for qudits},
author = {Utkan Güngördü and Chi-Kwong Li and Mikio Nakahara and Yiu-Tung Poon and Nung-Sing Sze},
journal= {arXiv preprint arXiv:1310.4401},
year = {2014}
}