Computing Stabilized Norms for Quantum Operations via the Theory of Completely Bounded Maps
Quantum Physics
2007-11-26 v1
Abstract
The diamond and completely bounded norms for linear maps play an increasingly important role in quantum information science, providing fundamental stabilized distance measures for differences of quantum operations. Based on the theory of completely bounded maps, we formulate an algorithm to compute the norm of an arbitrary linear map. We present an implementation of the algorithm via Maple, discuss its efficiency, and consider the case of differences of unitary maps.
Cite
@article{arxiv.0711.3636,
title = {Computing Stabilized Norms for Quantum Operations via the Theory of Completely Bounded Maps},
author = {Nathaniel Johnston and David W. Kribs and Vern I. Paulsen},
journal= {arXiv preprint arXiv:0711.3636},
year = {2007}
}
Comments
21 pages, preprint version