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Phys. Rev. A 60, 3474–3481 (1999)

How to protect the interpretation of the wave function against protective measurements

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Jos Uffink*
Institute for History and Foundations of Mathematics and Science, University of Utrecht, P.O. Box 80.000, 3508 TA Utrecht, The Netherlands

Received 3 March 1999; published in the issue dated November 1999

A new type of procedures, called protective measurements, was proposed by Aharonov, Anandan, and Vaidman [Phys. Rev. A 97, 4616 (1993); Found. Phys. 26, 117 (1996)]. These authors argued that a protective measurement allows the determination of arbitrary observables of a single quantum system, and claimed that this favors a realistic interpretation of the quantum state. This paper proves that only observables that commute with the system’s Hamiltonian can be measured protectively. It is argued that this restriction saves the coherence of alternative interpretations.

© 1999 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.60.3474
DOI:
10.1103/PhysRevA.60.3474
PACS:
03.65.Bz

*Electronic address: uffink@phys.uu.nl