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Non-Gaussianity detection of single-mode rotationally symmetric quantum states via cumulant method |
| Shao-Hua Xiang(向少华)†, Li-Jun Huang(黄利军), and Xian-Wu Mi(米贤武) |
| College of Physics, Electronics and Intelligent Manufacturing, Huaihua University, Huaihua 418008, China |
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Abstract 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.
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Received: 09 December 2023
Revised: 21 January 2024
Accepted manuscript online: 02 February 2024
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PACS:
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03.67.-a
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(Quantum information)
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03.65.Ta
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(Foundations of quantum mechanics; measurement theory)
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42.50.Dv
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(Quantum state engineering and measurements)
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| Fund: Project supported by the Natural Science Foundation of Hunan Province of China (Grant No. 2021JJ30535). |
Corresponding Authors:
Shao-Hua Xiang
E-mail: shxiang97@163.com
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Cite this article:
Shao-Hua Xiang(向少华), Li-Jun Huang(黄利军), and Xian-Wu Mi(米贤武) Non-Gaussianity detection of single-mode rotationally symmetric quantum states via cumulant method 2024 Chin. Phys. B 33 050309
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