Three qubits can be entangled in two inequivalent ways

@article{Dur2000ThreeQC,
  title={Three qubits can be entangled in two inequivalent ways},
  author={Wolfgang Dur and Guifr{\'e} Vidal and Juan Ignacio Cirac},
  journal={Physical Review A},
  year={2000},
  volume={62},
  pages={062314}
}
Invertible local transformations of a multipartite system are used to define equivalence classes in the set of entangled states. This classification concerns the entanglement properties of a single copy of the state. Accordingly, we say that two states have the same kind of entanglement if both of them can be obtained from the other by means of local operations and classical communication (LOCC) with nonzero probability. When applied to pure states of a three-qubit system, this approach reveals… 

Figures and Tables from this paper

Deterministic transformations of three-qubit entangled pure states
The states of three-qubit systems split into two inequivalent types of genuine tripartite entanglement, namely the Greenberger-Horne-Zeilinger (GHZ) type and the $W$ type. A state belonging to one of
Distinguishing different classes of entanglement of three-qubit pure states
Abstract Employing the Pauli matrices, we have constructed a set of operators, which can be used to distinguish six inequivalent classes of entanglement under stochastic local operation and classical
Generalized W state of four qubits with exclusively the three-tangle
We single out a class of states possessing only threetangle but distributed all over four qubits. This is a three-site analogue of states from the $W$-class, which only possess globally distributed
Transformations among Pure Multipartite Entangled States via Local Operations are Almost Never Possible
Local operations assisted by classical communication (LOCC) constitute the free operations in entanglement theory. Hence, the determination of LOCC transformations is crucial for the understanding of
Guaranteed emergence of genuine entanglement in 3-qubit evolving systems
TLDR
The results provide a classification of the Kraus operators according to their capacity of producing 3-qubit entanglement, and pave the way for extending the analysis to larger systems and determining the particular interactions that must be implemented in order to create, enhance and distributeEntanglement in a specific manner.
Entanglement of Three-Qubit Random Pure States
TLDR
The distributions of both the coefficients and the only phase in the five-term decomposition of Acín et al. for an ensemble of random pure states generated by the Haar measure on U(8) are obtained and two sets of polynomial invariants are analyzed.
Visualizing Two Qubits
The notions of entanglement witnesses and separable and entangled states for a two qubit system can be visualized in three dimensions using the SLOCC equivalence classes. This visualization preserves
Optimal quantum communication using multiparticle partially entangled states
We propose a three-qubit partially entangled set of states as a shared resource for optimal and faithful quantum information processing. We show that our states always violate the Svetlichny
Experimental detection of entanglement polytopes via local filters
Quantum entanglement, resulting in correlations between subsystems that are stronger than any possible classical correlation, is one of the mysteries of quantum mechanics. Entanglement cannot be
...
...