Quantum cost for sending entanglement

Abstract

Establishing quantum entanglement between two distant parties is an essential step of many protocols in quantum information processing. One possibility for providing long-distance entanglement is to create an entangled composite state within a lab and then physically send one subsystem to a distant lab. However, is this the "cheapest" way? Here, we investigate the minimal "cost" that is necessary for establishing a certain amount of entanglement between two distant parties. We prove that this cost is intrinsically quantum, and is specified by quantum correlations. Our results provide an optimal protocol for entanglement distribution and show that quantum correlations are the essential resource for this task.

Added a reference to the related article arXiv:1203.1268 by T. K. Chuan et al

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• Quantum discord in quantum random access codes and its connection with dimension witness
• Shielding quantum discord through continuous dynamical decoupling
• Tomographic characterisation of correlations in a photonic tripartite state
• Approximation, Proof Systems, and Correlations in a Quantum World