A1 Refereed original research article in a scientific journal

On the Complementarity of the Quadrature Observables




AuthorsLahti P, Pellonpaa JP

PublisherSPRINGER

Publication year2010

JournalFoundations of Physics

Journal name in sourceFOUNDATIONS OF PHYSICS

Journal acronymFOUND PHYS

Number in series9-10

Volume40

Issue9-10

First page 1419

Last page1428

Number of pages10

ISSN0015-9018

DOIhttps://doi.org/10.1007/s10701-009-9373-y(external)

Self-archived copy’s web addresshttps://arxiv.org/abs/0912.3384(external)


Abstract
In this paper we investigate the coupling properties of pairs of quadrature observables, showing that, apart from the Weyl relation, they share the same coupling properties as the position-momentum pair. In particular, they are complementary. We determine the marginal observables of a covariant phase space observable with respect to an arbitrary rotated reference frame, and observe that these marginal observables are unsharp quadrature observables. The related distributions constitute the Radon transform of a phase space distribution of the covariant phase space observable. Since the quadrature distributions are the Radon transform of the Wigner function of a state, we also exhibit the relation between the quadrature observables and the tomography observable, and show how to construct the phase space observable from the quadrature observables. Finally, we give a method to measure together with a single measurement scheme any complementary pair of quadrature observables.



Last updated on 2024-26-11 at 18:38