Contractions, Matrix Paramatrizations, and Quantum Information
量子物理
2007-05-23 v1
摘要
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.
引用
@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}
}
备注
Submitted to J. Math. Phys