Multimode uncertainty relations and separability of continuous variable states

被引：89
|
作者：
Serafini, A
机构：
[1] UCL, Dept Phys & Astron, London WC1E 6BT, England
[2] Univ Salerno, Dipartimento Fis ER Caianiello, I-84081 Baronissi, Italy
来源：
PHYSICAL REVIEW LETTERS | 2006年 / 96卷 / 11期
关键词：
D O I：
10.1103/PhysRevLett.96.110402
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A multimode uncertainty relation (generalizing the Robertson-Schrodinger relation) is derived as a necessary constraint on the second moments of n pairs of canonical operators. In turn, necessary conditions for the separability of multimode continuous variable states under (m+n)-mode bipartitions are derived from the uncertainty relation. These conditions are proven to be necessary and sufficient for (1+n)-mode Gaussian states and for (m+n)-mode bisymmetric Gaussian states.
引用
收藏
页数：4
相关论文
共 50 条
  • [31] Stronger uncertainty relations of mixed states
    Yajing Fan
    Huaixin Cao
    Liang Chen
    Huixian Meng
    Quantum Information Processing, 2020, 19
  • [32] Uncertainty relations for the support of quantum states
    Fiorentino, Vincenzo
    Weigert, Stefan
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2022, 55 (49)
  • [33] Entanglement criteria and nonlocality for multimode continuous-variable systems
    Sun, Qingqing
    Nha, Hyunchul
    Zubairy, M. Suhail
    PHYSICAL REVIEW A, 2009, 80 (02):
  • [34] Preparational Uncertainty Relations for N Continuous Variables
    Kechrimparis, Spiros
    Weigert, Stefan
    MATHEMATICS, 2016, 4 (03)
  • [35] Realignment separability criterion assisted with filtration for detecting continuous-variable entanglement
    Hertz, Anaelle
    Arnhem, Matthieu
    Asadian, Ali
    Cerf, Nicolas J.
    PHYSICAL REVIEW A, 2021, 104 (02)
  • [36] Multimode displacement relations and q-boson squeezed states
    McDermott, RJ
    Chung, WS
    5TH WIGNER SYMPOSIUM, PROCEEDINGS, 1998, : 69 - 71
  • [37] Systematic construction of genuine-multipartite-entanglement criteria in continuous-variable systems using uncertainty relations
    Toscano, F.
    Saboia, A.
    Avelar, A. T.
    Walborn, S. P.
    PHYSICAL REVIEW A, 2015, 92 (05):
  • [38] Cauchy inequality and uncertainty relations for mixed states
    Shirokov, M. I.
    INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2006, 45 (01) : 147 - 157
  • [39] Squeezed states and uncertainty relations since 1991
    Victor V. Dodonov
    Margarita A. Man’ko
    Vladimir I. Man’ko
    Apostol Vourdas
    Journal of Russian Laser Research, 2007, 28 : 404 - 428
  • [40] Cauchy Inequality and Uncertainty Relations for Mixed States
    M. I. Shirokov
    International Journal of Theoretical Physics, 2006, 45 : 141 - 151
12345