A1 Vertaisarvioitu alkuperäisartikkeli tieteellisessä lehdessä
Extreme commutative quantum observables are sharp
Tekijät: Heinosaari T, Pellonpaa JP
Kustantaja: IOP PUBLISHING LTD
Julkaisuvuosi: 2011
Journal: Journal of Physics A: Mathematical and Theoretical
Tietokannassa oleva lehden nimi: JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
Lehden akronyymi: J PHYS A-MATH THEOR
Artikkelin numero: ARTN 315303
Numero sarjassa: 31
Vuosikerta: 44
Numero: 31
Sivujen määrä: 4
ISBN: 978-0-521-19583-6
ISSN: 1751-8113
DOI: https://doi.org/10.1088/1751-8113/44/31/315303
Rinnakkaistallenteen osoite: https://arxiv.org/abs/1106.4295
Tiivistelmä
It is well known that, in the description of quantum observables, positive operator valued measures (POVMs) generalize projection valued measures (PVMs) and they also turn out be more optimal in many tasks. We show that a commutative POVM is an extreme point in the convex set of all POVMs if and only if it is a PVM. This results implies that non-commutativity is a necessary ingredient to overcome the limitations of PVMs.
It is well known that, in the description of quantum observables, positive operator valued measures (POVMs) generalize projection valued measures (PVMs) and they also turn out be more optimal in many tasks. We show that a commutative POVM is an extreme point in the convex set of all POVMs if and only if it is a PVM. This results implies that non-commutativity is a necessary ingredient to overcome the limitations of PVMs.
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