A1 Refereed original research article in a scientific journal

On coexistence and joint measurability of rank-1 quantum observables



Authors: Juha-Pekka Pellonpää

Publisher: IOP PUBLISHING LTD

Publication year: 2014

Journal: Journal of Physics A: Mathematical and Theoretical

Journal name in source: JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL

Journal acronym: J PHYS A-MATH THEOR

Article number: 052002

Volume: 47

Issue: 5

Number of pages: 12

ISSN: 1751-8113

DOI: https://doi.org/10.1088/1751-8113/47/5/052002


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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