The norm-1-property of a quantum observable

: Heinonen T, Lahti P, Pellonpaa JP, Pulmannova S, Ylinen K

Publisher: AMER INST PHYSICS

: 2003

Journal of Mathematical Physics

JOURNAL OF MATHEMATICAL PHYSICS

: J MATH PHYS

: 44

: 5

: 1998

: 2008

: 11

: 0022-2488

DOI: https://doi.org/10.1063/1.1566454

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.