  We explore the relative robustness of squeezing and entanglement (which are
quantum resources interconvertible via passive optics) for two-mode Gaussian
states under different dissipative environments. When the individual modes
interact with identical local baths, entanglement and squeezing decay at the
same rate. However, when only one of the modes interacts with a local bath, the
comparative robustness of entanglement and squeezing depends on the initial
squeezing of the state. Similarly, when the system interacts with a global
bath, the robustness of entanglement and squeezing depends on the initial
squeezing. Thus depending on the nature of dissipative environments and the
initial squeezing of the state, one can select the more robust form of resource
out of squeezing and entanglement to store quantumness. This can be used to
effectively enhance the performance of various quantum information processing
protocols based on continuous variable Gaussian states.
