“…The quantum non-Gaussianity measures have been proposed by using the Wigner logarithmic negativity [ 48 , 49 ], quantum relative entropy [ 50 ], stellar representation [ 51 ], and robustness [ 52 ]. Additionally, quantum non-Gaussianity witnesses have been theoretically proposed [ 47 , 53 , 54 , 55 , 56 , 57 , 58 , 59 , 60 , 61 , 62 , 63 , 64 , 65 ] and experimentally demonstrated [ 62 , 63 , 64 , 65 , 66 , 67 ] to certify quantum non-Gaussianity efficiently. Here, our main interest is in non-Gaussianity measures that characterize the difference between a quantum state and its reference Gaussian state.…”