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A recently proposed purification method, in which the Zeno-like measurementsof a subsystem can bring about a distillation of another subsystem ininteraction with the former, is utilized to yield entangled states betweendistant systems. It is shown that the measurements of a two-level systemlocally interacting with other two spatially separated not coupled subsystems,can distill entangled states from the latter irrespectively of the initialstates of the two subsystems.Comment: 11 pages, 2 figures; the version accepted for publication in Phys.  Rev.

Distillation of entanglement between distant systems by repeated measurements on an entanglement mediator