Canonical phase measurement is pure

: Heinosaari T, Pellonpaa JP

Publisher: AMER PHYSICAL SOC

: 2009

: Physical Review A

: PHYSICAL REVIEW A

: PHYS REV A

: ARTN 040101

: 80

: 4

: 1050-2947

DOI: https://doi.org/10.1103/PhysRevA.80.040101

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.