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.
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页数：4
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