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|Title: ||A measure of non-Gaussianity for quantum states|
|Authors: ||Ivan, Solomon J.|
Sanjay Kumar, M.
|Keywords: ||Non-Gaussianity measure|
Photon-added thermal states
|Issue Date: ||Jun-2012 |
|Citation: ||Quantum information processing, 2012, Vol.11, p853-872|
|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.|
|Description: ||Restricted Access. An open-access version is available at arXiv.org (one of the alternative locations)|
|Alternative Location: ||http://arxiv.org/abs/0812.2800|
|Copyright: ||2012 Springer Science+Business Media, LLC|
|Appears in Collections:||Research Papers (LAMP)|
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