Entanglement and purity of two-mode Gaussian states in noisy channels

Abstract

We study the evolution of purity, entanglement and total correlations of general two--mode Gaussian states of continuous variable systems in arbitrary uncorrelated Gaussian environments. The time evolution of purity, Von Neumann entropy, logarithmic negativity and mutual information is analyzed for a wide range of initial conditions. In general, we find that a local squeezing of the bath leads to a faster degradation of purity and entanglement, while it can help to preserve the mutual information between the modes.

10 pages, 8 figures

References in corpus (2)

• Symplectic invariants, entropic measures and correlations of Gaussian states
• Purity of Gaussian states: measurement schemes and time-evolution in noisy channels

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