English

Dissipative generators, divisible dynamical maps and Kadison-Schwarz inequality

Quantum Physics 2019-12-04 v1 Mathematical Physics math.MP

Abstract

We introduce a concept of Kadison-Schwarz divisible dynamical maps. It turns out that it is a natural generalization of the well known CP-divisibility which characterizes quantum Markovian evolution. It is proved that Kadison-Schwarz divisible maps are fully characterized in terms of time-local dissipative generators. Simple qubit evolution illustrates the concept.

Cite

@article{arxiv.1908.05702,
  title  = {Dissipative generators, divisible dynamical maps and Kadison-Schwarz inequality},
  author = {Dariusz Chruściński and Farrukh Mukhamedov},
  journal= {arXiv preprint arXiv:1908.05702},
  year   = {2019}
}

Comments

9 pages

R2 v1 2026-06-23T10:48:35.246Z