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Entanglement Percolation with Bipartite Mixed States

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I will develop a concept of entanglement percolation for long-distance singlet generation in quantum networks where neighbouring nodes are connected by partially entangled bipartite mixed states. I will give a necessary and sufficient condition on the class of mixed network states for the generation of singlets. I will discuss that neighbouring nodes are required to be connected by multiple partially entangled states to achieve entanglement percolation. Furthermore I will devise a rich variety of distillation protocols for the conversion of these mixed states into singlets. Finally, I will introduce possible further improvements achievable by using quantum strategies including generalized forms of entanglement swapping.

This talk is part of the TCM Blackboard Series series.

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