Details
| Original language | English |
|---|---|
| Pages (from-to) | 3658-3661 |
| Number of pages | 4 |
| Journal | Phys. Rev. Lett. |
| Volume | 86 |
| Issue number | 16 |
| Publication status | Published - 2001 |
Abstract
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In: Phys. Rev. Lett., Vol. 86, No. 16, 2001, p. 3658-3661.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Bound entangled gaussian states
AU - Werner, R. F.
AU - Wolf, M. M.
PY - 2001
Y1 - 2001
N2 - We discuss the entanglement properties of bipartite states with Gaussian Wigner functions. For the separability, and the positivity of the partial transpose, we establish explicit necessary and sufficient criteria in terms of the covariance matrix of the state. It is shown that, for systems composed of a single oscillator for Alice and an arbitrary number for Bob, positivity of the partial transpose implies separability. However, this implication fails with two oscillators on each side, as we show by constructing a five parameter family of bound entangled Gaussian states.
AB - We discuss the entanglement properties of bipartite states with Gaussian Wigner functions. For the separability, and the positivity of the partial transpose, we establish explicit necessary and sufficient criteria in terms of the covariance matrix of the state. It is shown that, for systems composed of a single oscillator for Alice and an arbitrary number for Bob, positivity of the partial transpose implies separability. However, this implication fails with two oscillators on each side, as we show by constructing a five parameter family of bound entangled Gaussian states.
U2 - 10.1103/PhysRevLett.86.3658
DO - 10.1103/PhysRevLett.86.3658
M3 - Article
VL - 86
SP - 3658
EP - 3661
JO - Phys. Rev. Lett.
JF - Phys. Rev. Lett.
IS - 16
ER -