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Title: Repeatable measurements in quantum theory: Their role and feasibility

Abstract

Recent advantages in experimental quantum physics call for a careful reconsideration of the measurements process in quantum mechanics. In this paper we describe the structure of the ideal measurements and their status among the repeatable measurements. Then we provide an exhaustive account of the interrelations between repeatability and the apparently weaker notions of value reproducible or first-kind measurements. We demonstrate the close link between repeatable measurements and discrete observables and show how the ensuing measurement limitations for continuous observables can be lifted in a way that is in full accordance with actual experimental practice. We present examples of almost repeatable measurements of continuous observables and some realistic models of weakly disturbing measurements.

Authors:
 [1];  [2];  [3]
  1. Harvard Univ., Cambridge, MA (United States)
  2. Nicolaus Copernicus Univ., Torun (Poland)
  3. Univ. of Turku (Finland)
Publication Date:
Sponsoring Org.:
USDOE
OSTI Identifier:
146082
Resource Type:
Journal Article
Journal Name:
Foundations of Physics
Additional Journal Information:
Journal Volume: 25; Journal Issue: 9; Other Information: PBD: Sep 1995
Country of Publication:
United States
Language:
English
Subject:
66 PHYSICS; QUANTUM MECHANICS; MEASURING METHODS; STANDARD MODEL; STERN-GERLACH EXPERIMENT

Citation Formats

Busch, P, Grabowski, M, and Lahti, P J. Repeatable measurements in quantum theory: Their role and feasibility. United States: N. p., 1995. Web. doi:10.1007/BF02055331.
Busch, P, Grabowski, M, & Lahti, P J. Repeatable measurements in quantum theory: Their role and feasibility. United States. https://doi.org/10.1007/BF02055331
Busch, P, Grabowski, M, and Lahti, P J. 1995. "Repeatable measurements in quantum theory: Their role and feasibility". United States. https://doi.org/10.1007/BF02055331.
@article{osti_146082,
title = {Repeatable measurements in quantum theory: Their role and feasibility},
author = {Busch, P and Grabowski, M and Lahti, P J},
abstractNote = {Recent advantages in experimental quantum physics call for a careful reconsideration of the measurements process in quantum mechanics. In this paper we describe the structure of the ideal measurements and their status among the repeatable measurements. Then we provide an exhaustive account of the interrelations between repeatability and the apparently weaker notions of value reproducible or first-kind measurements. We demonstrate the close link between repeatable measurements and discrete observables and show how the ensuing measurement limitations for continuous observables can be lifted in a way that is in full accordance with actual experimental practice. We present examples of almost repeatable measurements of continuous observables and some realistic models of weakly disturbing measurements.},
doi = {10.1007/BF02055331},
url = {https://www.osti.gov/biblio/146082}, journal = {Foundations of Physics},
number = 9,
volume = 25,
place = {United States},
year = {Fri Sep 01 00:00:00 EDT 1995},
month = {Fri Sep 01 00:00:00 EDT 1995}
}