Evolution of two-mode quantum states under a dissipative environment: which quantum resource survives better, squeezing or entanglement?

TL;DR

This paper investigates how squeezing and entanglement, two key quantum resources in two-mode Gaussian states, decay under different dissipative environments, revealing conditions where one resource is more robust than the other.

Contribution

It analyzes the relative robustness of squeezing and entanglement under various dissipative environments, providing insights for optimizing quantum information protocols.

Findings

Entanglement and squeezing decay at the same rate with identical local baths.

The robustness depends on initial squeezing when only one mode interacts with a local bath.

The robustness varies with initial squeezing in a global bath environment.

Abstract

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.