Geodesic
Quantifying non-Gaussianity via the~Hellinger distance
Teoretičeskaâ i matematičeskaâ fizika, Tome 204 (2020) no. 2, pp. 242-257

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Non-Gaussianity is an important resource for quantum information processing with continuous variables. We introduce a measure of the non-Gaussianity of bosonic field states based on the Hellinger distance and present its basic features. This measure has some natural properties and is easy to compute. We illustrate this measure with typical examples of bosonic field states and compare it with various measures of non-Gaussianity. In particular, we highlight its similarity to and difference from the measure based on the Bures distance (or, equivalently, fidelity).
Keywords: bosonic field, Gaussian state, non-Gaussianity, Hellinger distance
Mots-clés : Bures distance. 
@article{TMF_2020_204_2_a5,
     author = {Yue Zhang and Shunlong Luo},
     title = {Quantifying {non-Gaussianity} via {the~Hellinger} distance},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {242--257},
     publisher = {mathdoc},
     volume = {204},
     number = {2},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2020_204_2_a5/}
}
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Yue Zhang; Shunlong Luo. Quantifying non-Gaussianity via the~Hellinger distance. Teoretičeskaâ i matematičeskaâ fizika, Tome 204 (2020) no. 2, pp. 242-257. http://geodesic.mathdoc.fr/item/TMF_2020_204_2_a5/