Quantifying non-Gaussianity of a quantum state by the negative entropy of quadrature distributions
【Abstract】
We propose a non-Gaussianity measure of a multimode quantum state based on the negentropy of quadrature distributions. Our measure satisfies desirable properties as a non-Gaussianity measure, i.e., faithfulness, invariance under Gaussian unitary operations, and monotonicity under Gaussian channels. Furthermore, we find a quantitative relation between our measure and the previously proposed non-Gaussianity measures defined via quantum relative entropy and the quantum Hilbert-Schmidt distance. This allows us to estimate the non-Gaussianity measures readily by homodyne detection, which would otherwise require a full quantum-state tomography.
【Author】
Jiyong Park, Jaehak Lee, Kyunghyun Baek, Hyunchul Nha
【Journal】
Physical Review A(IF：2.9) Time：2021-09-18
