Roughness as Classicality Indicator of a Quantum State

Humberto C. F. Lemos, Alexandre C. L. Almeida, Barbara Amaral +1

We define a new quantifier of classicality for a quantum state, the Roughness, which is given by the ${\mathcal{L}}^2({\mathbb{R}}^2)$ distance between Wigner and Husimi functions. We show th…