Orbital angular momentum uncertainty relations of entangled two-photon states

被引:1
|
作者
Li, Wei [1 ,2 ,3 ]
Zhao, Shengmei [1 ,2 ]
机构
[1] Nanjing Univ Posts & Telecommun, Inst Signal Proc & Transmiss, Nanjing 210003, Jiangsu, Peoples R China
[2] Nanjing Univ Posts & Telecommun, Key Lab Broadband Wireless Commun & Sensor Networ, Nanjing 210003, Jiangsu, Peoples R China
[3] Nanjing Univ, Natl Lab Solid State Microstruct, Nanjing 210093, Peoples R China
来源
EUROPEAN PHYSICAL JOURNAL D | 2021年 / 75卷 / 08期
基金
中国国家自然科学基金;
关键词
QUANTUM COMPUTATION; DIFFRACTION; INFORMATION; POSITION;
D O I
10.1140/epjd/s10053-021-00243-z
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
The inseparability of quantum correlation requires that the particles in the composite system be treated as a whole rather than treated separately, a typical example is the Einstein-Podolsky-Rosen (EPR) paradox. In this paper, we provide a theoretical study on the uncertainty relations of two kinds of bipartite observables in two-photon orbital angular momentum (OAM) entanglement, that is, the relative distance and centroid of the two photons at azimuth. We find that the uncertainty relations of the bipartite observables holds in any two-photon state, and they are separable in two-photon OAM entanglement. In addition, the entangled state behaves as a single particle in the bipartite representation. Finally, we find that the uncertainty relations of the bipartite observables can be used to manipulate the degree of the entanglement of an EPR state.
引用
收藏
页数:7
相关论文
共 50 条
  • [1] Orbital angular momentum uncertainty relations of entangled two-photon states
    Wei Li
    Shengmei Zhao
    The European Physical Journal D, 2021, 75
  • [2] Two-photon entanglement of orbital angular momentum states
    Franke-Arnold, S
    Barnett, SM
    Padgett, MJ
    Allen, L
    PHYSICAL REVIEW A, 2002, 65 (03): : 6
  • [3] Imaging symmetric and antisymmetric behavior of orbital-angular-momentum-entangled two-photon states
    Ibarra-Borja, Zeferino
    Yepiz-Graciano, Pablo
    Claro-Rodriguez, Nicolas
    U'Ren, Alfred B.
    Ramirez-Alarcon, Roberto
    PHYSICAL REVIEW APPLIED, 2024, 22 (02):
  • [4] Two-photon spiral imaging with correlated orbital angular momentum states
    Simon, David S.
    Sergienko, Alexander V.
    PHYSICAL REVIEW A, 2012, 85 (04):
  • [5] Nonlocality of high-dimensional two-photon orbital angular momentum states
    Aiello, A
    Oemrawsingh, SSR
    Eliel, ER
    Woerdman, JP
    PHYSICAL REVIEW A, 2005, 72 (05)
  • [6] Measuring two-photon orbital angular momentum entanglement
    Calvo, G. F.
    Picon, A.
    Bramon, A.
    PHYSICAL REVIEW A, 2007, 75 (01)
  • [7] Manipulating the orbital-angular-momentum correlation of entangled two-photon states in three-dimensional nonlinear photonic crystals
    Xu, Chuan
    Huang, Songtao
    Yu, Qian
    Wei, Dunzhao
    Chen, Pengcheng
    Nie, Saiwei
    Zhang, Yong
    Xiao, Min
    PHYSICAL REVIEW A, 2021, 104 (06)
  • [8] Local discrimination of orbital angular momentum in entangled states
    Cialdi, Simone
    Suerra, Edoardo
    Altilia, Samuele
    Olivares, Stefano
    Paroli, Bruno
    Potenza, Marco A. C.
    Siano, Mirko
    Paris, Matteo G. A.
    PHYSICAL REVIEW A, 2024, 110 (04)
  • [9] Scattering of entangled two-photon states
    Schotland, John C.
    Caze, A.
    Norris, Theodore B.
    OPTICS LETTERS, 2016, 41 (03) : 444 - 447
  • [10] Preparation and identification of two-photon positively-momentum-correlated entangled states
    Liu, Wei-Tao
    Chen, Ping-Xing
    Li, Cheng-Zu
    Yuan, Jian-Min
    PHYSICAL REVIEW A, 2009, 79 (06):