Quantum Nonlocally Correlated Observables for Non-Gaussian States
LI Hong-Rong1**, LI Fu-Li1, ZHU Shi-Yao2
1MOE Key Laboratory for Nonequilibrium Synthesis and Modulation of Condensed Matter and Department of Applied Physics, Xi'an Jiaotong University, Xi'an 710049 2Department of Physics, Hong Kong Baptist University, Hong Kong
Quantum Nonlocally Correlated Observables for Non-Gaussian States
LI Hong-Rong1**, LI Fu-Li1, ZHU Shi-Yao2
1MOE Key Laboratory for Nonequilibrium Synthesis and Modulation of Condensed Matter and Department of Applied Physics, Xi'an Jiaotong University, Xi'an 710049 2Department of Physics, Hong Kong Baptist University, Hong Kong
摘要Quantum nonlocally correlated observables of the squeezed Bell-like states are investigated. We find that the higher amount of the entanglement does not always mean the stronger correlation of positions and momentums in the non-Gaussian states such as the photon-added states and the squeezed number states. Quantum nonlocal correlations of the amplitude-squared operators signal the entanglement existence of all the squeezed Bell-like states.
Abstract:Quantum nonlocally correlated observables of the squeezed Bell-like states are investigated. We find that the higher amount of the entanglement does not always mean the stronger correlation of positions and momentums in the non-Gaussian states such as the photon-added states and the squeezed number states. Quantum nonlocal correlations of the amplitude-squared operators signal the entanglement existence of all the squeezed Bell-like states.
[1] Braunstein S L et al 2005 Rev. Mod. Phys. 77 513
[2] Bennett C H et al 1993 Phys. Rev. Lett. 70 1895
[3] Braunstein S L et al 1998 Phys. Rev. Lett. 80 869 Furusawa A et al 1998 Science 282 706
[4] Milburn G J et al 1999 Phys. Rev. A 60 937
[5] Einstein A et al 1935 Phys. Rev. 47 777
[6] Zavatta A et al 2004 Science 306 660
[7] Ourjoumtsev A et al 2007 Phys. Rev. Lett. 98 030502
[8] Li H R et al 2007 Phys. Rev. A 75 062318
[9] Dell'Anno F et al 2007 Phys. Rev. A 76 022301
[10] Duan L M et al 2000 Phys. Rev. Lett. 84 2722
[11] Giedke G et al 2003 Phys. Rev. Lett. 91 107901
[12] Agarwal G S et al 2005 New J. Phys. 7 211
[13] Hillery M et al 2006 Phys. Rev. Lett. 96 050503
[14] Shchukin E et al 2005 Phys. Rev. Lett. 95 230502
[15] Giovannetti V et al 2003 Phys. Rev. A 67 022320
[16] Bennett C H et al 1996 Phys. Rev. Lett. 76 722
[17] Bennett C H et al 1996 Phys. Rev. A 54 3824
[18] Vedral V et al 1997 Phys. Rev. Lett. 78 2275
[19] Hillery M 1989 Phys. Rev. A 40 3147
[20] Hillery M 1987 Phys. Rev. A 36 3796