On the Geometric Measures of Entanglement
arXiv:0910.1365 · doi:10.1103/PhysRevA.81.032306
Abstract
The geometric measure of entanglement, which expresses the minimum distance to product states, has been generalized to distances to sets that remain invariant under the stochastic reducibility relation. For each such set, an associated entanglement monotone can be defined. The explicit analytical forms of these measures are obtained for bipartite entangled states. Moreover, the three qubit case is discussed and argued that the distance to the W states is a new monotone.
arXiv comment7 pages, 1 figures, minor content change, references added, 1 figure added
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- Global-to-local incompatibility, monogamy of entanglement, and ground-state dimerization: Theory and observability of quantum frustration in systems with competing interactions
- Optimal reducibility of all Stochastic Local Operation and Classical Communication equivalent W states
- Geometric analysis of entangled qubit pairs
- Geometric measures of quantum nonlocality: characterization, quantification, and comparison by distances and operations