A1 Refereed original research article in a scientific journal
The norm-1-property of a quantum observable
Authors: Heinonen T, Lahti P, Pellonpaa JP, Pulmannova S, Ylinen K
Publisher: AMER INST PHYSICS
Publication year: 2003
Journal:: Journal of Mathematical Physics
Journal name in source: JOURNAL OF MATHEMATICAL PHYSICS
Journal acronym: J MATH PHYS
Volume: 44
Issue: 5
First page : 1998
Last page: 2008
Number of pages: 11
ISSN: 0022-2488
DOI: https://doi.org/10.1063/1.1566454
Abstract
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.
UTU Research Portal