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Detecting continuous-variable entanglement in phase space with the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>Q</mml:mi></mml:math> distribution

Detecting continuous-variable entanglement in phase space with the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>Q</mml:mi></mml:math> distribution

We prove a general class of continuous variable entanglement criteria based on the Husimi $Q$ distribution, which represents a quantum state in canonical phase space, by employing a theorem by Lieb and Solovej. We discuss their generality, which roots in the possibility to optimize over the set of concave functions, …