English

The canonical phase measurement is pure

Quantum Physics 2009-10-08 v1

Abstract

We show that the canonical phase measurement is pure in the sense that the corresponding positive operator valued measure (POVM) is extremal in the convex set of all POVMs. This means that the canonical phase measurement cannot be interpreted as a noisy measurement, even if it is not a projection valued measure.

Cite

@article{arxiv.0909.4166,
  title  = {The canonical phase measurement is pure},
  author = {Teiko Heinosaari and Juha-Pekka Pellonpää},
  journal= {arXiv preprint arXiv:0909.4166},
  year   = {2009}
}

Comments

4 pages

R2 v1 2026-06-21T13:49:27.066Z