Physics – Quantum Physics
Scientific paper
2000-10-27
Physics
Quantum Physics
RevTeX,16 pages,9 figures, reference added, proof of monotonicity corrected, results unchanged
Scientific paper
10.1103/PhysRevA.64.062307
We show how to simplify the computation of the entanglement of formation and the relative entropy of entanglement for states, which are invariant under a group of local symmetries. For several examples of groups we characterize the state spaces, which are invariant under these groups. For specific examples we calculate the entanglement measures. In particular, we derive an explicit formula for the entanglement of formation for UU-invariant states, and we find a counterexample to the additivity conjecture for the relative entropy of entanglement.
Vollbrecht Karl Gerd H.
Werner Reinhard F.
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