Article ID Journal Published Year Pages File Type
9868219 Physics Letters A 2005 5 Pages PDF
Abstract
Determining a quantum observable from the first and second moments of its measurement outcome statistics is investigated. Operational conditions for the moments of a probability measure are given which suffice to determine the probability measure. Differential operators are shown to lead to physically relevant cases where the expectation values of large classes of non-commuting observables do not distinguish superpositions of states and, in particular, where the full moment information does not determine the probability measure.
Related Topics
Physical Sciences and Engineering Physics and Astronomy Physics and Astronomy (General)
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