Distribution of continuous-variable entanglement by separable Gaussian states
Ladislav Mi\v{s}ta, Jr., Natalia Korolkova
TL;DR
This paper demonstrates that entanglement can be distributed between two distant systems using a fully separable three-mode Gaussian state and linear optics, extending a counterintuitive quantum phenomenon to continuous-variable systems.
Contribution
It introduces a method for entanglement distribution with Gaussian states using linear optics, showing the phenomenon is not limited to qubits.
Findings
Entanglement can be distributed via separable Gaussian states.
A specific three-mode Gaussian state enables this distribution.
The protocol is feasible with current linear optics technology.
Abstract
Entangling two systems at distant locations using a {\it separable} mediating ancilla is a counterintuitive phenomenon proposed for qubits by T. Cubitt {\it et al}. [Phys. Rev. Lett. {\bf 91}, 037902 (2003)]. We show that such entanglement distribution is possible with Gaussian states, using a certain three-mode fully separable mixed Gaussian state and linear optics elements readily available in experiments. Two modes of the state become entangled by sequentially mixing them on two beam splitters, while the third one remains separable in all stages of the protocol.
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