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In this paper, we discuss the partial separability and its criteria problemsof multipartite qubit mixed-states. First we strictly define what is thepartial separability of a multipartite qubit system. Next we give a reductionway from N-partite qubit density matrixes to bipartite qubit density matrixes,and prove a necessary condition that a N-partite qubit mixed-state to bepartially separable is its reduction to satisfy the PPT condition.  PACC numbers: 03.67.Mn; 03.65.Ud; 03.67.Hk

CRITERIA OF PARTIAL SEPARABILITY OF MULTIPARTITE QUBIT MIXED STATES