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Pauli problem for a spin of arbitrary length: A simple method to determine its wave function

Weigert, S. (orcid.org/0000-0002-6647-3252) (1992) Pauli problem for a spin of arbitrary length: A simple method to determine its wave function. Physical Review A. pp. 7688-7696. ISSN 1094-1622

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The problem of determining a pure state vector from measurements is investigated for a quantum spin of arbitrary length. Generically, only a finite number of wave functions is compatible with the intensities of the spin components in two different spatial directions, measured by a Stern-Gerlach apparatus. The remaining ambiguity can be resolved by one additional well-defined measurement. This method combines efficiency with simplicity: only a small number of quantities have to be measured and the experimental setup is elementary. Other approaches to determine state vectors from measurements, also known as the ‘‘Pauli problem,’’ are reviewed for both spin and particle systems.

Item Type: Article
Copyright, Publisher and Additional Information: © 1992 The American Physical Society. Reproduced in accordance with the publisher's self-archiving policy.
Institution: The University of York
Academic Units: The University of York > Mathematics (York)
Depositing User: Repository Officer
Date Deposited: 23 Jun 2006
Last Modified: 30 May 2016 00:31
Published Version: http://dx.doi.org/10.1103/PhysRevA.45.7688
Status: Published
Refereed: Yes
URI: http://eprints.whiterose.ac.uk/id/eprint/1359

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