Multimode uncertainty relations and separability of continuous variable states
量子物理
2007-05-23 v1
摘要
A multimode uncertainty relation (generalising the Robertson-Schroedinger 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
@article{arxiv.quant-ph/0608136,
title = {Multimode uncertainty relations and separability of continuous variable states},
author = {A. Serafini},
journal= {arXiv preprint arXiv:quant-ph/0608136},
year = {2007}
}
备注
4 pages, no figures; shorter version of a longer version (see quant-ph/0508231), published