Excessive distribution of quantum entanglement

Abstract

We classify protocols of entanglement distribution as excessive and non-excessive ones. In a non-excessive protocol, the gain of entanglement is bounded by the amount of entanglement being communicated between the remote parties, while excessive protocols violate such bound. We first present examples of excessive protocols that achieve a significant entanglement gain. Next we consider their use in noisy scenarios, showing that they improve entanglement achieved in other ways and for some situations excessive distribution is the only possibility of gaining entanglement.

13 pages, 11 figures

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• Deterministic distribution of multipartite entanglement and steering in a quantum network by separable states
• Distinguishability classes, resource sharing, and bound entanglement distribution
• Experimental localisation of quantum entanglement through monitored classical mediator
• Entanglement sharing via qudit channels: Nonmaximally entangled states may be necessary for one-shot optimal singlet fraction and negativity
• Entanglement distribution and quantum discord
• Distributing entanglement with separable states: assessment of encoding and decoding imperfections