Conditions for the approximate correction of algebras
Quantum Physics
2009-12-08 v1
Abstract
We study the approximate correctability of general algebras of observables, which represent hybrid quantum-classical information. This includes approximate quantum error correcting codes and subsystems codes. We show that the main result of arXiv:quant-ph/0605009 yields a natural generalization of the Knill-Laflamme conditions in the form of a dimension independent estimate of the optimal reconstruction error for a given encoding, measured using the trace-norm distance to a noiseless channel.
Keywords
Cite
@article{arxiv.0907.4207,
title = {Conditions for the approximate correction of algebras},
author = {Cédric Bény},
journal= {arXiv preprint arXiv:0907.4207},
year = {2009}
}
Comments
Related to a talk given at TQC 2009 in Waterloo