Suboptimal quantum-error-correcting procedure based on semidefinite programming
Quantum Physics
2007-05-23 v1
Abstract
In this paper, we consider a simplified error-correcting problem: for a fixed encoding process, to find a cascade connected quantum channel such that the worst fidelity between the input and the output becomes maximum. With the use of the one-to-one parametrization of quantum channels, a procedure finding a suboptimal error-correcting channel based on a semidefinite programming is proposed. The effectiveness of our method is verified by an example of the bit-flip channel decoding.
Cite
@article{arxiv.quant-ph/0606105,
title = {Suboptimal quantum-error-correcting procedure based on semidefinite programming},
author = {Naoki Yamamoto and Shinji Hara and Koji Tsumura},
journal= {arXiv preprint arXiv:quant-ph/0606105},
year = {2007}
}
Comments
6 pages, no figure, Some notations differ from those in the PRA version