On coexistence and joint measurability of rank-1 quantum observables
Quantum Physics
2015-06-16 v3 Mathematical Physics
math.MP
Abstract
We show that a rank-1 quantum observable (POVM) M is jointly measurable with a quantum observable M' exactly when M' is a smearing of M. If M is extreme, rank-1 and discrete then M and M' are coexistent if and only if they are jointly measurable.
Keywords
Cite
@article{arxiv.1308.3154,
title = {On coexistence and joint measurability of rank-1 quantum observables},
author = {Juha-Pekka Pellonpää},
journal= {arXiv preprint arXiv:1308.3154},
year = {2015}
}
Comments
Theorem 2 of v1 and Example 1 of v2 are incorrect