Gaussian States in Quantum Information

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Optomechanics for quantum technologies (2021, background): “While manifestly non-classical in a variety of ways, and in fact capable of demonstrating entanglement, Gaussian states can be described by means of a non-negative Wigner quasiprobability distribution [49] and thus behave somewhat similarly to classical states.”
Quantifying non-Gaussianity for quantum information (2010, background): “Besides, despite they belong to an inﬁnite-dimensional Hilbert space, Gaussian states are easy to handle from the theoretical point of view, being fully described by the ﬁrst and second moments of the canonical operators [1–3].”
Gaussian quantum information (2011, background): “…the basic facts of Gaussian quantum information processing (Braunstein and Pati, 2003; Eisert and Plenio, 2003; Braunstein and van Loock, 2005; Ferraro, Olivares, and Paris, 2005) and in reporting recent developments, we have attempted to present results in a way that is accessible to two…”