English

Coexistence of qubit effects

Quantum Physics 2008-07-15 v3

Abstract

We characterize all coexistent pairs of qubit effects. This gives an exhaustive description of all pairs of events allowed, in principle, to occur in a single qubit measurement. The characterization consists of three disjoint conditions which are easy to check for a given pair of effects. Known special cases are shown to follow from our general characterization theorem.

Keywords

Cite

@article{arxiv.0802.4248,
  title  = {Coexistence of qubit effects},
  author = {Peter Stano and Daniel Reitzner and Teiko Heinosaari},
  journal= {arXiv preprint arXiv:0802.4248},
  year   = {2008}
}

Comments

A paper with identical title is being published on the arXiv simultaneously by P. Busch and H.-J. Schmidt. These authors solve the same problem independently with a different method. In v2 the proof of the main result has been clarified, and some minor errors have been corrected. In v3 some typos have been corrected and a reference has been added

R2 v1 2026-06-21T10:16:53.437Z