On coexistence and joint measurability of rank-1 quantum observables

preprint2013arXivOpen access

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.

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