1. RRI Digital Repository
  2. 07. Theoretical Physics
  3. Research Papers (TP)
Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/4547
Full metadata record
DC FieldValueLanguage
dc.contributor.authorIvan, Solomon J.-
dc.contributor.authorMukunda, N.-
dc.contributor.authorSimon, R.-
dc.date.accessioned2012-05-29T03:27:15Z-
dc.date.available2012-05-29T03:27:15Z-
dc.date.issued2012-05-
dc.identifier.citationJournal of Physics A, 2012, Vol. 45, p195305en
dc.identifier.issn1751-8113-
dc.identifier.issn1751-8121 (Online)-
dc.identifier.urihttp://hdl.handle.net/2289/4547-
dc.descriptionRestricted Access.en
dc.description.abstractThe non-negativity of the density operator of a state is faithfully coded in its Wigner distribution, and this coding places on the moments of the Wigner distribution constraints arising from the non-negativity of the density operator. Working in a monomial basis for the algebra $\hat{\mathcal A}$ of operators on the Hilbert space of a bosonic mode, we formulate these constraints in a canonically covariant form which is both concise and explicit. Since the conventional uncertainty relation is such a constraint on the first and second moments, our result constitutes a generalization of the same to all orders. The structure constants of $\hat{\mathcal A}$, in the monomial basis, are shown to be essentially the SU(2) Clebsch–Gordan coefficients. Our results have applications in quantum state reconstruction using optical homodyne tomography and, when generalized to the n-mode case, which will be done in the second part of this work, will have applications also for continuous variable quantum information systems involving non-Gaussian states.en
dc.language.isoenen
dc.publisherIOP Publishing Ltd.en
dc.relation.urihttp://dx.doi.org/10.1088/1751-8113/45/19/195305en
dc.rights2012 IOP Publishing Ltd.en
dc.titleMoments of non-Gaussian Wigner distributions and a generalized uncertainty principle: I. The single-mode caseen
dc.typeArticleen
Appears in Collections:Research Papers (TP)

Files in This Item:
File Description SizeFormat 
2012_JPhyA_45_19_195305.pdf
  Restricted Access		Restricted Access283.49 kBAdobe PDFView/Open Request a copy
Show simple item record


Items in RRI Digital Repository are protected by copyright, with all rights reserved, unless otherwise indicated.