Multipartite Einstein-Podolsky-Rosen steering sharing with separable states

Abstract

Distribution of quantum correlations among remote users is a key procedure underlying many quantum information technologies. Einstein-Podolsky-Rosen steering, which is one kind of such correlations stronger than entanglement, has been identified as a resource for secure quantum networks. We show that this resource can be established between two and even more distant parties by transmission of a system being separable from all the parties. For the case with two parties, we design a protocol allowing to distribute one-way Gaussian steering between them via a separable carrier; the obtained steering can be used subsequently for one-sided device-independent (1sDI) quantum key distribution. Further, we extend the protocol to three parties, a scenario which exhibits richer steerability properties including one-to-multimode steering and collective steering, and which can be used for 1sDI quantum secret sharing. All the proposed steering distribution protocols can be implemented with squeezed states, beam splitters and displacements, and thus they can be readily realized experimentally. Our findings reveal that not only entanglement but even steering can be distributed via communication of a separable system. Viewed from a different perspective, the present protocols also demonstrate that one can switch multipartite states between different steerability classes by operations on parts of the states.

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Cited by in corpus (9)

• Deterministic distribution of multipartite entanglement and steering in a quantum network by separable states
• Quantum correlations in separable multi-mode states and in classically entangled light
• Quantum Correlation Sharing: A Review On Recent Progress From Nonlocality To Other Non-Classical Correlations
• The future of secure communications: device independence in quantum key distribution
• Can boundary configuration be tuned to optimize directional quantum steering harvesting?
• Sharing EPR steering between sequential pairs of observers
• A scheme for multipartite entanglement distribution via separable carriers
• Entanglement of Local Hidden States
• Sudden death and revival of Gaussian Einstein-Podolsky-Rosen steering in noisy channels