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The separability and entanglement of quantum mixed states in $\Cb^2 \otimes\Cb^3 \otimes \Cb^N$ composite quantum systems are investigated. It is shownthat all quantum states $\rho$ with positive partial transposes and rank$r(\rho)\leq N$ are separable.Comment: Latex, 15 page

physical review. a, atomic, molecular, and optical physics/physical review, a, atomic, molecular, and optical physics

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