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Proceedings Paper

The cumulants of bosonic quantum states
Author(s): Li-zhen Jiang
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Paper Abstract

We address the issue of quantifying the non-Gaussian character of a bosonic quantum state and introduce cumulants of quantum states as the measure of non-Gaussianity. The cumulants are calculated for Fock state, cat state, non-Gaussian state prepared by photon subtraction and phase damped state. The time evolution of non-Gaussianity is also studied. The third-order cumulant is a vector of length 4 and the fourth-order cumulant is a vector of length 5 for single mode quantum state.

Paper Details

Date Published: 4 November 2010
PDF: 6 pages
Proc. SPIE 7846, Quantum and Nonlinear Optics, 784612 (4 November 2010); doi: 10.1117/12.870177
Show Author Affiliations
Li-zhen Jiang, Zhejiang Gongshang Univ. (China)


Published in SPIE Proceedings Vol. 7846:
Quantum and Nonlinear Optics
Qihuang Gong; Guang-Can Guo; Yuen-Ron Shen, Editor(s)

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