Entanglement sharing with separable states

Abstract

We propose an entanglement sharing protocol based on separable states. Initially, two parties, Alice and Bob, share a two-mode separable Gaussian state. Alice then splits her mode into two separable modes and distributes them between two players. Bob is separable from the players but he can create entanglement with either of the players if the other player moves to his location and collaborates with him. Any two parties are separable and the creation of entanglement is thus mediated by transmission of a mode which is separable from individual modes on Alice's and Bob's side. For the state shared by the players and Bob one cannot establish entanglement between any two modes even with the help of operation on the third mode provided that Bob is restricted to Gaussian measurements and the state thus carries a nontrivial signature of bound entanglement. The present protocol also demonstrates switching between different separability classes of tripartite systems by coherent operations on its bipartite parts and complements studies on protocols utilizing mixed partially entangled multipartite states.

8 pages, 3 figures

References in corpus (4)

• Unitarily localizable entanglement of Gaussian states
• Multimode uncertainty relations and separability of continuous variable states
• Gaussian localizable entanglement
• Entanglement Sharing Protocol via Quantum Error Correcting Codes

Cited by in corpus (8)

• Quantum correlations in separable multi-mode states and in classically entangled light
• Distinguishability classes, resource sharing, and bound entanglement distribution
• Quantumness of Gaussian Discord: Experimental Evidence and Role of System-Environment Correlations
• Excessive distribution of quantum entanglement
• Entangling the whole by beam splitting a part
• A scheme for multipartite entanglement distribution via separable carriers
• Distributing entanglement with separable states: assessment of encoding and decoding imperfections
• Strategies for entanglement distribution in optical fiber networks