Amiet, Jean-Pierre and Weigert, S. (2000) Discrete Q- and P-symbols for spin s. Journal of Optics B: Quantum and Semiclassical Optics. pp. 118-121. ISSN 1464-4266Full text available as:
Non-orthogonal bases of projectors on coherent states are introduced to expand Hermitean operators acting on the Hilbert space of a spin s. It is shown that the expectation values of a Hermitean operator (A) over cap in a family of (2s + 1)(2) spin-coherent states determine the operator unambiguously. In other words, knowing the Q-symbol of (A) over cap at (2s + 1)(2) points on the unit sphere is already sufficient in order to recover the operator. This provides a straightforward method to reconstruct the mixed state of a spin since its density matrix is explicitly parametrized in terms of expectation values. Furthermore, a discrete P-symbol emerges naturally which is related to a basis dual to the original one.
|Copyright, Publisher and Additional Information:||© 2000 IOP Publishing Ltd. This is an author produced version of a paper published in Journal of Optics B: Quantum and Semiclassical Optics.|
|Keywords:||discrete phase-space representation|
|Academic Units:||The University of York > Mathematics (York)|
|Depositing User:||Repository Officer|
|Date Deposited:||22 Jun 2006|
|Last Modified:||17 Oct 2013 14:38|