English

Compatibility properties of extreme quantum observables

Quantum Physics 2015-08-19 v2

Abstract

Recently a problem concerning the equivalence of joint measurability and coexistence of quantum observables was solved [15]. In this paper we generalize two known joint measurability results from sharp observables to the class of extreme observables and study relationships between coexistence, joint measurability, and post-processing of quantum observables when an extreme observable is involved. We also discuss another notion of compatibility and provide a counterexample separating this from the former notions.

Keywords

Cite

@article{arxiv.1404.4172,
  title  = {Compatibility properties of extreme quantum observables},
  author = {Erkka Haapasalo and Juha-Pekka Pellonpää and Roope Uola},
  journal= {arXiv preprint arXiv:1404.4172},
  year   = {2015}
}

Comments

14 pages, some refinements in the proofs of theorems 2 and 3 and Corollary 1 as well as a couple of new references compared to the earlier version

R2 v1 2026-06-22T03:52:03.438Z