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
Academic Units:	The University of York > Mathematics (York)
Depositing User:	Repository Officer
Date Deposited:	22 Jun 2006
Last Modified:	19 Feb 2013 11:52
Published Version:	http://dx.doi.org/10.1088/1464-4266/6/12/001
Status:	Published
Refereed:	Yes
Related URLs:	http://www-users.york.ac.uk/~slow500/Pub... http://dx.doi.org/10.1088/1464-4266/6/12...
URI:	http://eprints.whiterose.ac.uk/id/eprint/1354

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