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MiS Preprint
17/2010
Separable State Decompositions for a Class of Mixed States
Xiaofen Huang, Shao-Ming Fei, Naihuan Jing and Xianqing Li-Jost
Abstract
We study certain quantum states for which the PPT criterion is both sufficient and necessary for separability. We present a class of $(2k+1)\times (2k+1)$, $k\in \Bbb{N}$, bipartite mixed states and derive the conditions of PPT for these states. The separable pure state decompositions of these states are explicitly constructed when they are PPT.