English

On diagonal quantum channels

Quantum Physics 2021-08-25 v2

Abstract

In this paper we study diagonal quantum channels and their structure by proving some results and giving most applicable instances of them. Firstly, it is shown that action of every diagonal quantum channel on pure state from computational basis is a convex combination of pure states determined by some transition probabilities. Finally, by using the Cholesky decomposition it is presented an algorithmic method to find an explicit form for Kraus operators of diagonal quantum channels.

Keywords

Cite

@article{arxiv.2011.00237,
  title  = {On diagonal quantum channels},
  author = {Amir R. Arab},
  journal= {arXiv preprint arXiv:2011.00237},
  year   = {2021}
}

Comments

11 pages, to appear in Rep. Math. Phys.- Journal- Elsevier

R2 v1 2026-06-23T19:48:17.427Z