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arXiv:quant-ph/0308159 · Physical Review A

Separability and entanglement in C2⊗C3⊗CN composite quantum systems

Shao-Ming Fei, Xiu-Hong Gao, Xiaohong Wang, Zhi‐Xi Wang, Ke Wu

Published Aug 27, 2003• 14 citations
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Abstract

The separability and entanglement of quantum mixed states in ${C}^{2}\ensuremath{\bigotimes}{C}^{3}\ensuremath{\bigotimes}{C}^{N}$ composite quantum systems are investigated. It is shown that all quantum states $\ensuremath{\rho}$ with positive partial transposes and rank $r(\ensuremath{\rho})<~N$ are separable.

DOI
10.1103/physreva.68.022315

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