Quantifying non-Gaussianity of a quantum state by the negative entropy of quadrature distributions Institutional Repository Document uri icon


  • 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 list (cited authors)

  • Park, J., Lee, J., Baek, K., & Nha, H.

complete list of authors

  • Park, Jiyong||Lee, Jaehak||Baek, Kyunghyun||Nha, Hyunchul

Book Title

  • arXiv

publication date

  • September 2021