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 1464-4266Full text available as:
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.
|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:||17 Oct 2013 14:24|