Classification of Mixed Three-Qubit States

Abstract

We introduce a classification of mixed three-qubit states, in which we define the classes of separable, biseparable, W, and Greenberger-Horne-Zeilinger 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.

Keywords

QubitPhysicsQuantum mechanicsQuantum

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Publication Info

Year: 2001
Type: article
Volume: 87
Issue: 4
Pages: 040401-040401
Citations: 563
Access: Closed

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APA Style

                            
                                
                                    A. Acín, 
                                
                                    Dagmar Bruß, 
                                
                                    Maciej Lewenstein
                                
                                et al.
                            
                            (2001). 
                            Classification of Mixed Three-Qubit States. 
                            Physical Review Letters
                            , 87
                            (4)
                            , 040401-040401.
                            https://doi.org/10.1103/physrevlett.87.040401
                        

Identifiers

DOI: 10.1103/physrevlett.87.040401