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We derive an upper limit for the mixedness of single bosonic mode gaussianstates propagating in dissipative channels. It is a function of the initialsqueezing and temperature of the channel only. Moreover the time at which vonNeumann's entropy reaches its maximum value coincides with that of completeloss of coherence, thus defining a quantum-classical transition.

Characteristic Time and Maximum Mixedness: Single Mode Gaussian States in Dissipative Channels