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Non-Gaussianity detection of single-mode rotationally symmetric quantum states via cumulant method
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The non-Gaussianity of quantum states incarnates an important resource for improving the performance of continuous-variable quantum information protocols.We propose a novel criterion of non-Gaussianity for single-mode rotationally symmetric quantum states via the squared Frobenius norm of higher-order cumulant matrix for the quadrature distribution function.As an application,we study the non-Gaussianities of three classes of single-mode symmetric non-Gaussian states:a mixture of vacuum and Fock states,single-photon added thermal states,and even/odd Schrödinger cat states.It is shown that such a criterion is faithful and effective for revealing non-Gaussianity.We further extend this criterion to two cases of symmetric multi-mode non-Gaussian states and non-symmetric single-mode non-Gaussian states.
non-Gaussianity criterioncumulant matrixquadrature distribution
向少华、黄利军、米贤武
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College of Physics,Electronics and Intelligent Manufacturing,Huaihua University,Huaihua 418008,China
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