A1 Refereed original research article in a scientific journal
Two questions on quantum probability
Authors: Lahti P, Pellonpaa JP, Ylinen K
Publisher: ELSEVIER SCIENCE BV
Publication year: 2005
Journal:: Physics Letters A
Journal name in source: PHYSICS LETTERS A
Journal acronym: PHYS LETT A
Volume: 339
Issue: 1-2
First page : 18
Last page: 22
Number of pages: 5
ISSN: 0375-9601
DOI: https://doi.org/10.1016/j.physleta.2005.03.041
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 noncommuting observables do not distinguish superpositions of states and, in particular, where the full moment information does not determine the probability measure. (c) 2005 Elsevier B.V. All rights reserved.
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 noncommuting observables do not distinguish superpositions of states and, in particular, where the full moment information does not determine the probability measure. (c) 2005 Elsevier B.V. All rights reserved.
UTU Research Portal