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TITLE Quantifying non-Gaussianity of a quantum state by the negative entropy of quadrature distributions
KIAS AUTHORS Baek, Kyunghyun,Lee, Jaehak
JOURNAL PHYSICAL REVIEW A, 2021
ARCHIVE arXiv:2109.14353
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.
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