Contractions, Matrix Paramatrizations, and Quantum Information
Quantum Physics
2007-05-23 v1
Abstract
In this note, we discuss dilation-theoretic matrix parametrizations of contractions and positive matrices. These parametrizations are then applied to some problems in quantum information theory. First we establish some properties of positive maps, or entanglement witnesses. Two further applications, concerning concrete dilations of completely positive maps, in particular quantum operations, are given.
Keywords
Cite
@article{arxiv.quant-ph/0610259,
title = {Contractions, Matrix Paramatrizations, and Quantum Information},
author = {M. C. Tseng},
journal= {arXiv preprint arXiv:quant-ph/0610259},
year = {2007}
}
Comments
Submitted to J. Math. Phys