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Entanglement between spatially distant qubits is perhaps the mostcounterintuitive and vital resource for distributed quantum computing. However,despite a few special cases, there is no known general procedure to maximallyentangle two distant parts of an interacting many-body system. Here we presenta symmetry-based approach, whereby one applies several timed pulses to drive asystem to a particular symmetry sector with maximal bipartite long-rangeentanglement. As a concrete example, we demonstrate how a simple sequence ofon-site pulses on a qubit array can efficiently produce any given number ofstable nonlocal Bell pairs, realizable in several present-day atomic andphotonic experimental platforms. More generally, our approach paves a route fornovel state preparation by harnessing symmetry. For instance, we show how itenables the creation of long-sought-after superconducting $\eta$ pairs in arepulsive Hubbard model.

Generating Symmetry-Protected Long-Range Entanglement in Many-Body Systems