Strong long-range spin-spin coupling via a Kerr magnon interface

Strong long-range coupling between distant spins is crucial for spin-based quantum information processing. However, achieving such a strong spin-spin remains challenging. Here we propose to realize two via the Kerr effect of magnons in yttrium-iron-garnet nanosphere. By applying microwave field on this nanosphere, can induce magnon squeezing, so that spin and squeezed be exponentially enhanced. This turn allows spin-magnon distance increased from nano- micrometer scale. considering virtual excitation squeezd dispersive regime, mediated by achieved, remote quantum-state transfer, as well nonlocal two-qubit iSWAP gate with high fidelity becomes implementable. Our approach offers feasible scheme perform processing among spins.