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Expanding Hermitian operators in a basis of projectors on coherent spin states

Weigert, S. (2004) Expanding Hermitian operators in a basis of projectors on coherent spin states. Journal of Optics B: Quantum and Semiclassical Optics. pp. 489-490. ISSN 1464-4266

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Abstract

The expectation values of a Hermitian operator (A) over cap in (2s + 1)(2) specific coherent states of a spin are known to determine the operator unambiguously. As shown here, (almost) any other set of (2s + 1)(2) coherent state projectors also provide a basis for self-adjoint operators. This is proved by considering the determinant of the Gram matrix associated with the coherent state projectors as a Hamiltonian of a fictitious classical spin system. The result guarantees that (almost) any experimentally desirable choice of directions is appropriate for reconstructing the state of a quantum spin by means of a Stem-Gerlach apparatus.

Item Type: Article
Copyright, Publisher and Additional Information: © 2004 IOP Publishing Ltd. This is an author produced version of a paper published in Journal of Optics B: Quantum and Semiclassical Optics.
Keywords: state reconstruction, quorum, coherent states, density matrix
Institution: The University of York
Academic Units: The University of York > Mathematics (York)
Depositing User: Repository Officer
Date Deposited: 22 Jun 2006
Last Modified: 16 Oct 2014 17:51
Published Version: http://dx.doi.org/10.1088/1464-4266/6/12/001
Status: Published
Refereed: Yes
Related URLs:
URI: http://eprints.whiterose.ac.uk/id/eprint/1354

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