Simple proof of the robustness of Gaussian entanglement in bosonic noisy channels

Details Simple proof of the robustness of Gaussian entanglement in bosonic noisy channels Simple proof of the robustness of Gaussian entanglement in bosonic noisy channels

2011-02-11

arxiv.org/abs/1102.2356v1

Phys. Rev. A 83, 024301 (2011)

Physics

Quantum Physics

3 pages, 1 figure, brief report

Scientific paper

10.1103/PhysRevA.83.024301

The extremality of Gaussian states is exploited to show that Gaussian states are the most robust, among all possible bipartite continuous-variable states at fixed energy, against disentanglement due to noisy evolutions in Markovian Gaussian channels involving dissipation and thermal hopping. This proves a conjecture raised recently in [M. Allegra, P. Giorda, and M. G. A. Paris, Phys. Rev. Lett. {\bf 105}, 100503 (2010)], providing a rigorous validation of the conclusions of that work. The problem of identifying continuous variable states with maximum resilience to entanglement damping in more general bosonic open system dynamical evolutions, possibly including correlated noise and non-Markovian effects, remains open.

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