A1 Vertaisarvioitu alkuperäisartikkeli tieteellisessä lehdessä
The norm-1-property of a quantum observable
Tekijät: Heinonen T, Lahti P, Pellonpaa JP, Pulmannova S, Ylinen K
Kustantaja: AMER INST PHYSICS
Julkaisuvuosi: 2003
Lehti:: Journal of Mathematical Physics
Tietokannassa oleva lehden nimi: JOURNAL OF MATHEMATICAL PHYSICS
Lehden akronyymi: J MATH PHYS
Vuosikerta: 44
Numero: 5
Aloitussivu: 1998
Lopetussivu: 2008
Sivujen määrä: 11
ISSN: 0022-2488
DOI: https://doi.org/10.1063/1.1566454
Tiivistelmä
A normalized positive operator measure X bar right arrow E(X) has the norm-1-property if parallel toE(X)parallel to=1 whenever E(X)not equalO. This property reflects the fact that the measurement outcome probabilities for the values of such observables can be made arbitrarily close to one with suitable state preparations. Some general implications of the norm-1-property are investigated. As case studies, localization observables, phase observables, and phase space observables are considered. (C) 2003 American Institute of Physics.
A normalized positive operator measure X bar right arrow E(X) has the norm-1-property if parallel toE(X)parallel to=1 whenever E(X)not equalO. This property reflects the fact that the measurement outcome probabilities for the values of such observables can be made arbitrarily close to one with suitable state preparations. Some general implications of the norm-1-property are investigated. As case studies, localization observables, phase observables, and phase space observables are considered. (C) 2003 American Institute of Physics.