Details
| Original language | English |
|---|---|
| Pages (from-to) | 062307 |
| Number of pages | 1 |
| Journal | Phys. Rev. A |
| Volume | 64 |
| Issue number | 6 |
| Publication status | Published - 2001 |
Abstract
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In: Phys. Rev. A, Vol. 64, No. 6, 2001, p. 062307.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Entanglement measures under symmetry
AU - Vollbrecht, K. G. H.
AU - Werner, R. F.
PY - 2001
Y1 - 2001
N2 - 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 (U x U)-invariant states, and we find a counterexample of the additivity conjecture for the relative entropy of entanglement.
AB - 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 (U x U)-invariant states, and we find a counterexample of the additivity conjecture for the relative entropy of entanglement.
U2 - 10.1103/PhysRevA.64.062307
DO - 10.1103/PhysRevA.64.062307
M3 - Article
VL - 64
SP - 062307
JO - Phys. Rev. A
JF - Phys. Rev. A
SN - 2469-9934
IS - 6
ER -