The norm-1-property of a quantum observable

Abstract

A normalized positive operator measure $X\mapsto E(X)$ has the norm-1-property if $\no{E(X)}=1$ whenever $E(X)\ne O$. This property reflects the fact that the measurement outcome probabilities for the values of such observables can be made arbitrary 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.

14 pages

References in corpus (4)

• Localization of Events in Space-Time
• Effects as functions on projective Hilbert space
• Are Number and Phase Complementary Observables?
• Covariant localizations in the torus and the phase observables

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