English

An Uncertainty Principle For Completely Positive Maps

Quantum Physics 2016-11-22 v1

Abstract

We present an "uncertainty principle" for quantum channels, showing a relationship between the dimensions of the range of a channel and the range of its complement. We examine some interesting specific cases, and discuss consequences for privacy of quantum channels.

Keywords

Cite

@article{arxiv.1611.06352,
  title  = {An Uncertainty Principle For Completely Positive Maps},
  author = {Jeremy Levick},
  journal= {arXiv preprint arXiv:1611.06352},
  year   = {2016}
}
R2 v1 2026-06-22T16:57:54.143Z