Methods for Derivation of Density Matrix of Arbitrary Multi-Mode Gaussian States from Its Phase Space Representation
Sheng-Li Zhang1**, Song Yang2,1
1Beijing Key Laboratory of Nanophotonics & Ultrafine Optoelectronic Systems, School of Physics, Beijing Institute of Technology, Beijing 100081 2Beijing Institute of Space Mechanics & Electricity, Beijing 100076
Abstract：We present a method for derivation of the density matrix of an arbitrary multi-mode continuous variable Gaussian entangled state from its phase space representation. An explicit computer algorithm is given to reconstruct the density matrix from Gaussian covariance matrix and quadrature average values. As an example, we apply our method to the derivation of three-mode symmetric continuous variable entangled state. Our method can be used to analyze the entanglement and correlation in continuous variable quantum network with multi-mode quantum entanglement states.
. [J]. 中国物理快报, 2019, 36(9): 90301-.
Sheng-Li Zhang, Song Yang. Methods for Derivation of Density Matrix of Arbitrary Multi-Mode Gaussian States from Its Phase Space Representation. Chin. Phys. Lett., 2019, 36(9): 90301-.
2019, Vol. 36 
