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DC Field | Value | Language |
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dc.contributor.author | Ivan, Solomon J. | - |
dc.contributor.author | Sanjay Kumar, M. | - |
dc.contributor.author | Simon, R. | - |
dc.date.accessioned | 2012-05-31T08:46:37Z | - |
dc.date.available | 2012-05-31T08:46:37Z | - |
dc.date.issued | 2012-06 | - |
dc.identifier.citation | Quantum information processing, 2012, Vol.11, p853-872 | en |
dc.identifier.issn | 1570-0755 | - |
dc.identifier.issn | 1573-1332 (Online) | - |
dc.identifier.uri | http://hdl.handle.net/2289/4570 | - |
dc.description | Restricted Access. An open-access version is available at arXiv.org (one of the alternative locations) | en |
dc.description.abstract | We 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.iso | en | en |
dc.publisher | Springer | en |
dc.relation.uri | http://arxiv.org/abs/0812.2800 | en |
dc.relation.uri | http://dx.doi.org/10.1007/s11128-011-0314-2 | en |
dc.rights | 2012 Springer Science+Business Media, LLC | en |
dc.subject | Non-Gaussianity measure | en |
dc.subject | Quasiprobability · | en |
dc.subject | Q-function | en |
dc.subject | Wehrl entropy | en |
dc.subject | Photon-added thermal states | en |
dc.title | A measure of non-Gaussianity for quantum states | en |
dc.type | Article | en |
Appears in Collections: | Research Papers (LAMP) |
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2012_Quantum information Processing_V11_p873.pdf Restricted Access | Restricted Access | 728.61 kB | Adobe PDF | View/Open Request a copy |
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