Generation and distillation of non-Gaussian entanglement from nonclassical photon statistics

被引:0
作者
J. Solomon Ivan
N. Mukunda
R. Simon
机构
[1] Raman Research Institute,Optics and Quantum Information Group
[2] The Institute of Mathematical Sciences,undefined
来源
Quantum Information Processing | 2012年 / 11卷
关键词
Partial transpose; Non-Gaussian entanglement; Distillation of entanglement; Beam splitter; Photon number distribution;
D O I
暂无
中图分类号
学科分类号
摘要
With a product state of the form \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${{\rho}_{\rm in} = {\rho}_{a} \otimes |0 \rangle_b {_b} \langle 0|}$$\end{document} as input to a beam splitter, the output two-mode state ρout is shown to be negative under partial transpose (NPT) whenever the photon number distribution (PND) statistics { p(na) } associated with the possibly mixed state ρa of the input a-mode is antibunched or otherwise nonclassical, i.e., whenever { p(na) } fails to respect any one of an infinite sequence of necessary and sufficient classicality conditions. Negativity under partial transpose turns out to be a necessary and sufficient test for entanglement of ρout which is generically non-Gaussian. The output of a PND distribution is further shown to be distillable if any one of an infinite sequence of three term classicality conditions is violated.
引用
收藏
页码:873 / 885
页数:12
相关论文
共 104 条
[1]  
Simon R.(2000)Peres-Horodecki separability criterion for continuous variable systems Phys. Rev. Lett. 84 2726-2729
[2]  
Duan L.-M.(2000)Inseparability criterion for continuous variable systems Phys. Rev. Lett. 84 2722-2725
[3]  
Giedke G.(2001)Bound entangled Gaussian states Phys. Rev. Lett. 86 3658-3661
[4]  
Cirac J.I.(2003)Entanglement of formation for symmetric Gaussian states Phys. Rev. Lett. 91 107901-60
[5]  
Zoller P.(2001)Entanglement generation and degradation by passive optical devices Phys. Rev. A 64 063811-577
[6]  
Werner R.F.(2004)Entanglement generation from thermal spin states via unitary beam splitters Phys. Rev. A 70 062312-7880
[7]  
Wolf M.M.(2003)Entangling power of passive optical elements Phys. Rev. Lett. 90 047904-111
[8]  
Giedke G.(1994)General linear transformations and entangled states Phys. Rev. A 49 52-1093
[9]  
Wolf M.M.(2005)Quantum information with continuous variables Rev. Mod. Phys. 77 513-21520
[10]  
Kruger O.(2007)Entanglement in continuous-variable systems: recent advances and current perspectives J. Phys. A: Math. Theor. 40 7821-2412