Quantifying non-Gaussianity of a quantum state by the negative entropy of quadrature distributions

• URL: http://arxiv.org/abs/2109.14353v1
• Date: Wed, 29 Sep 2021 11:22:40 GMT
• Title: Quantifying non-Gaussianity of a quantum state by the negative entropy of quadrature distributions
• Authors: Jiyong Park, Jaehak Lee, Kyunghyun Baek, and Hyunchul Nha
• Abstract summary: 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.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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