Heidelberg 2015 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 67: Quantum Information: Quantum Communication II

Q 67.2: Talk

Friday, March 27, 2015, 11:15–11:30, K/HS1

Novel criteria for quantum non-Gaussianity — •Lucas Happ¹, Maxim A Efremov^1,2, Hyunchul Nha^3,4, and Wolfgang P Schleich^1,5 — ¹Institut für Quantenphysik and Center for Integrated Quantum Science and Technology (IQST), Universität Ulm, D-89081 Ulm, Germany — ²A.M. Prokhorov General Physics Institute, Russian Academy of Sciences, 119991 Moscow, Russia — ³School of Computational Sciences, Korea Institute for Advanced Study, Seoul 130-012, Korea — ⁴Department of Physics, Texas A&M University at Qatar, PO Box 23874, Doha, Qatar — ⁵Institute for Quantum Science and Engineering (IQSE), Department of Physics and Astronomy, Texas A&M University, College Station, TX 77843

Gaussian states play a major role in quantum information with continuous variables. An important question for any practical implementation of such a state is to provide the user with a criterion or condition to verify whether a given state is a Gaussian one. The fundamental criterion for a pure state to be a Gaussian one is the positivity of the corresponding Wigner function. However, such a simple criterion of Gaussianity is not easy to verify in practice. For this reason, in order to distinguish a non-Gaussian state from a Gaussian one, we present a new condition which relies on the sum of all the moments of the coordinate and momentum operators. Moreover, we examine the proposed condition for pure and mixed states.