Local entanglement transfer to multiple pairs of spatially separated observers
arXiv:2307.10961 · doi:10.1103/17s4-rtdm
Abstract
Entanglement is an advantageous but at the same time a costly resource utilized in various quantum tasks. For an efficient usage and deployment of entanglement, we envisage the scenario where a pair of spatially separated observers, Charu and Debu, want to share entanglement without interacting with each other. As a way out, their systems can separately and locally interact with those of Alice and Bob, respectively, who already share an entangled state. We ask if it is possible to transfer entanglement from the Alice-Bob pair to multiple Charu- Debu pairs, where the Alice-Bob pair only possesses a limited amount of pre-shared entanglement. We find joint unitaries, which when applied by Alice and one of the Charus, and by Bob and the corresponding Debu, such that a nonzero amount of the entanglement shared between Alice and Bob can be sequentially transferred to an indefinite number of pairs of Charus and Debus. We discuss the amount of entanglement that can be transferred to a fixed number of pairs using these unitaries. Also, we determine to how many pairs a fixed amount of entanglement can be transferred. Moreover, by optimizing over all possible local unitaries, we analyze the maximum number of pairs to which entanglement can be transferred in such a way that each pair gets at least a fixed amount of entanglement.
arXiv comment8 pages, 5 figures
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