多模不确定关系与连续变量态的可分性
Multimode uncertainty relations and separability of continuous variable states.
作者信息
Serafini Alessio
机构信息
Department of Physics and Astronomy, University College London, Gower Street, London WC1E 6BT, United Kingdom.
出版信息
Phys Rev Lett. 2006 Mar 24;96(11):110402. doi: 10.1103/PhysRevLett.96.110402. Epub 2006 Mar 21.
A multimode uncertainty relation (generalizing the Robertson-Schrödinger 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.
推导了一个多模不确定关系（推广了罗伯逊 - 薛定谔关系），作为对(n)对正则算符二阶矩的必要约束。反过来，从该不确定关系推导出了多模连续变量态在((m + n))模二分下可分性的必要条件。这些条件被证明对于((1 + n))模高斯态和((m + n))模双对称高斯态是必要且充分的。
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