Kao Jhih-Yuan, Chou Chung-Hsien
Department of Physics, National Cheng Kung University, Tainan, 701, Taiwan.
Sci Rep. 2018 May 9;8(1):7394. doi: 10.1038/s41598-018-25781-2.
For a system composed of permutationally symmetric Gaussian modes, by identifying the boundary of valid states and making necessary change of variables, the existence and exact value of the supremum of logarithmic negativity (and negativity likewise) between any two blocks can be shown analytically. Involving only the total number of interchangeable modes and the sizes of respective blocks, this result is general and easy to be applied for such a class of states.
对于由排列对称高斯模式组成的系统，通过确定有效状态的边界并进行必要的变量变换，可以解析地证明任意两个块之间对数负性（同样地，负性）的上确界的存在性和精确值。该结果仅涉及可互换模式的总数和各个块的大小，具有一般性且易于应用于此类状态。
