摘要For bipartite non-Gaussian states which are prepared by applying the phase damping to Gaussian states, we use Fock subspace inseparable criterion and the Shchukin-Vogel inseparable criterion to analyze their inseparability. The lowest order of the two criteria is obtained. Fock subspace criterion is more efficient in detecting the entanglement of damped Gaussian state by numerical results. Two photon Fock subspace criterion does not improve the entanglement detecting condition.
Abstract:For bipartite non-Gaussian states which are prepared by applying the phase damping to Gaussian states, we use Fock subspace inseparable criterion and the Shchukin-Vogel inseparable criterion to analyze their inseparability. The lowest order of the two criteria is obtained. Fock subspace criterion is more efficient in detecting the entanglement of damped Gaussian state by numerical results. Two photon Fock subspace criterion does not improve the entanglement detecting condition.
[1] Peres A 1996 Phys. Rev. Lett. 77 1413 [2] Horodecki M, Horodecki P and Horodecki R 1996 Phys.Lett. A 223 1 [3] Simon R 2000 Phys. Rev. Lett. 84 2726 [4] Wang X B, Keiji M and Akihisa T 2001 Phys. Rev.Lett. 87 137903 [5] Duan L M, Giedke G, Cirac J I and Zoller P 2000 Phys.Rev. Lett. 84 2722 [6] Agarwal G S and Biswas A 2005 New J. Phys. 7211 [7] Hillery M and Zubairy M S 2006 Phys. Rev. Lett. 96 050503 [8] Adesso G 2009 Phys. Rev. A 79 022315 [9] Shchukin E and Vogel W 2005 Phys. Rev. Lett. 95 230502 [10] Chen X Y 2007 Phys. Rev. A 76 022309 [11] Chen X Y 2006 Phys. Rev. A 73 022307 [12] Walls D and Milburn G 1994 Quantum Optics (Berlin:Springer) [13] Zhang Y Q and Xu J B 2009 Chin. Phys. Lett. 26 070301 [14] Jiang L Z 2004 Int. J. Quant. Inf. 2 273 [15] Chen X Y 2006 J. Phys. B 39 4605 [16] Chen X Y 2005 Phys. Rev. A 71 062320