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arXiv:2112.10027 · Physics Letters A

Quantum steering and quantum discord under noisy channels and entanglement swapping

Pedro Rosário, Andrés F. Ducuara, Cristian E. Susa

Published Apr 14, 2022• 5 citations
arXivHTMLPDF
DOI
10.1016/j.physleta.2022.128144

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We describe the behaviour of the Gaussian quantum steering in a system of two bosonic modes evolving in a Gaussian noisy channel. The evolution based on completely positive quantum dynamical semigroups assures that the Gaussian form of the initial state of the subsystem is preserved in time. We study the quantum steering using the symplectic formalism and we find out that the steerability in the considered open system interacting with a squeezed thermal reservoir is destroyed by thermal noise and dissipation. The Gaussian quantum steerability manifests a sudden suppression, namely it decays at a finite moment of time. This behaviour is similar to the one of the quantum entanglement, compared to the Gaussian quantum discord, which is only asymptotically decreasing in time.
Einstein-Podolsky-Rosen (EPR) steering is a quantum mechanical phenomenon that allows one party to steer the state of a distant party by exploiting their shared entanglement. It has potential applications in secure quantum communication. In this paper, we present two swapping schemes of Gaussian EPR steering, single-channel and dual-channel schemes, by the technique of entanglement swapping. Two space-separated independent EPR steering states without a direct interaction present EPR steering after deterministic swapping. By comparing the EPR steering of the single-channel and dual-channel schemes, we show that the transmission distance of the single-channel scheme is much longer than that of the symmetric dual-channel scheme. Different from entanglement swapping, one-way EPR steering is presented after swapping over lossy channels. The most interesting thing is that the change of the EPR steering direction is observed in the dual-channel scheme. We also show that excess noise in a quantum channel will shorten the transmission distance of the swapping, even leading to the sudden death of EPR steering. The presented schemes provide a technical reference for remote quantum communications with EPR steering.