English

Coexistence of quantum operations

Quantum Physics 2009-08-21 v2

Abstract

Quantum operations are used to describe the observed probability distributions and conditional states of the measured system. In this paper, we address the problem of their joint measurability (coexistence). We derive two equivalent coexistence criteria. The two most common classes of operations - Luders operations and conditional state preparators - are analyzed. It is shown that Luders operations are coexistent only under very restrictive conditions, when the associated effects are either proportional to each other, or disjoint.

Keywords

Cite

@article{arxiv.0905.4953,
  title  = {Coexistence of quantum operations},
  author = {Teiko Heinosaari and Daniel Reitzner and Peter Stano and Mario Ziman},
  journal= {arXiv preprint arXiv:0905.4953},
  year   = {2009}
}

Comments

14 pages, 1 figure, minor changes and corrections in v2

R2 v1 2026-06-21T13:07:46.242Z