Classification of mixed three-qubit states

Details Classification of mixed three-qubit states Classification of mixed three-qubit states

2001-03-07

arxiv.org/abs/quant-ph/0103025v1

Phys. Rev. Lett. 87, 040401 (2001)

Physics

Quantum Physics

4 pages, 1 figure

Scientific paper

10.1103/PhysRevLett.87.040401

We introduce a classification of mixed three-qubit states, in which we define the classes of separable, biseparable, W- and GHZ-states. These classes are successively embedded into each other. We show that contrary to pure W-type states, the mixed W-class is not of measure zero. We construct witness operators that detect the class of a mixed state. We discuss the conjecture that all entangled states with positive partial transpose (PPTES) belong to the W-class. Finally, we present a new family of PPTES "edge" states with maximal ranks.

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