Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/4570
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dc.contributor.authorIvan, Solomon J.-
dc.contributor.authorSanjay Kumar, M.-
dc.contributor.authorSimon, R.-
dc.date.accessioned2012-05-31T08:46:37Z-
dc.date.available2012-05-31T08:46:37Z-
dc.date.issued2012-06-
dc.identifier.citationQuantum information processing, 2012, Vol.11, p853-872en
dc.identifier.issn1570-0755-
dc.identifier.issn1573-1332 (Online)-
dc.identifier.urihttp://hdl.handle.net/2289/4570-
dc.descriptionRestricted Access. An open-access version is available at arXiv.org (one of the alternative locations)en
dc.description.abstractWe propose a measure of non-Gaussianity for quantum states of a system of n oscillator modes. Our measure is based on the quasi-probability Q(α), α ∈ Cn. Since any measure of non-Gaussianity is necessarily an attempt at making a quantitative statement on the departure of the shape of theQfunction from Gaussian, any good measure of non-Gaussianity should be invariant under transformations which do not alter the shape of theQfunctions, namely displacements, passage through passive linear systems, and uniform scaling of all the phase space variables: Q(α) → λ2nQ(λα). Our measure which meets this ‘shape criterion’ is computed for a fewfamilies of states, and the results are contrasted with existing measures of non-Gaussianity. The shape criterion implies, in particular, that the non-Gaussianity of the photon-added thermal states should be independent of temperature.en
dc.language.isoenen
dc.publisherSpringeren
dc.relation.urihttp://arxiv.org/abs/0812.2800en
dc.relation.urihttp://dx.doi.org/10.1007/s11128-011-0314-2en
dc.rights2012 Springer Science+Business Media, LLCen
dc.subjectNon-Gaussianity measureen
dc.subjectQuasiprobability ·en
dc.subjectQ-functionen
dc.subjectWehrl entropyen
dc.subjectPhoton-added thermal statesen
dc.titleA measure of non-Gaussianity for quantum statesen
dc.typeArticleen
Appears in Collections:Research Papers (LAMP)

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