A study of separability criteria for mixed three-qubit states
arXiv:1101.3256 · doi:10.1103/PhysRevA.83.062337
Abstract
We study the noisy GHZ-W mixture. We demonstrate some necessary but not sufficient criteria for different classes of separability of these states. It turns out that the partial transposition criterion of Peres and the criteria of Gühne and Seevinck dealing with matrix elements are the strongest ones for different separability classes of this 2 parameter state. As a new result we determine a set of entangled states of positive partial transpose.
18 pages, 10 figures, PRA style
References in corpus (8)
- Entanglement detection
- A complete family of separability criteria
- Separability criteria for genuine multiparticle entanglement
- Detection of high-dimensional genuine multi-partite entanglement of mixed states
- Entangled three-qubit states without concurrence and three-tangle
- Detecting multipartite entanglement
- Partial separability and entanglement criteria for multiqubit quantum states
- Entanglement Distillation; A Discourse on Bound Entanglement in Quantum Information Theory
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