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arXiv:quant-ph/0409182 · International Journal of Quantum Information

CRITERIA OF PARTIAL SEPARABILITY OF MULTIPARTITE QUBIT MIXED STATES

Zai-Zhe Zhong

Published May 31, 2005• 2 citations
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Abstract

We discuss the partial separability and its criteria problems of multipartite qubit mixed states. First, we strictly define what is the partial separability of a multipartite qubit system. Next, we provide a way of reduction from N-partite qubit density matrixes to bipartite qubit density matrixes, and prove a necessary condition that an N-partite qubit mixed state to be partially separable is its reduction to satisfy the PPT condition.

DOI
10.1142/s0219749905000992

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We discuss the partial separability and its criteria problems of multipartite qubit mixed states. First, we strictly define what is the partial separability of a multipartite qubit system. Next, we provide a way of reduction from N-partite qubit density matrixes to bipartite qubit density matrixes, and prove a necessary condition that an N-partite qubit mixed state to be partially separable is its reduction to satisfy the PPT condition.
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