A measure of non-Gaussianity for quantum states
| dc.creator | Ivan, J. Solomon | |
| dc.creator | Kumar, M. Sanjay | |
| dc.creator | Simon, R. | |
| dc.date | 2008-12-15 | |
| dc.date.accessioned | 2026-07-07T12:12:54Z | |
| dc.date.available | 2026-07-07T12:12:54Z | |
| dc.description | 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 $Q(α), α\in{\cal C}^n$. Since any measure of non-Gaussianity is necessarily an attempt at making a quantitative statement on the departure of the shape of the $Q$ function from Gaussian, any good measure of non-Gaussianity should be invariant under transformations which do not alter the shape of the $Q$ functions, namely displacements, passage through passive linear systems, and uniform scaling of all the phase space variables: $Q(α)\to λ^{2n}Q(λα)$. Our measure which meets this `shape criterion' is computed for a few families 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. | |
| dc.description | 10 Pages 4 Figures | |
| dc.identifier | https://arxiv.org/abs/0812.2800 | |
| dc.identifier | http://arxiv.org/abs/0812.2800 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/210699 | |
| dc.subject | Quantum Physics | |
| dc.title | A measure of non-Gaussianity for quantum states | |
| dc.type | text |