A1 Vertaisarvioitu alkuperäisartikkeli tieteellisessä lehdessä
On the Complementarity of the Quadrature Observables
Tekijät: Lahti P, Pellonpaa JP
Kustantaja: SPRINGER
Julkaisuvuosi: 2010
Journal: Foundations of Physics
Tietokannassa oleva lehden nimi: FOUNDATIONS OF PHYSICS
Lehden akronyymi: FOUND PHYS
Numero sarjassa: 9-10
Vuosikerta: 40
Numero: 9-10
Aloitussivu: 1419
Lopetussivu: 1428
Sivujen määrä: 10
ISSN: 0015-9018
DOI: https://doi.org/10.1007/s10701-009-9373-y
Rinnakkaistallenteen osoite: https://arxiv.org/abs/0912.3384
Tiivistelmä
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.
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.
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