Abstract
We propose a scheme to achieve a strong coupling between two distant symmetrically placed electronic spins (such as nitrogen-vacancy centers in diamonds) by using a quantized nanomechanical resonator (NAMR) as a data bus. These distant spins (without any direct interaction) simultaneously couple to a common NAMR. When the detunings between effective spin transition frequencies and the fundamental frequency of the NAMR are large enough, an effective coupling could be induced between the two distant electronic spins. The value of such a coupling could be significantly large (i.e., up to a few kilohertz). This induced interaction between the two spins can be used to implement an iSWAP quantum gate, and to probabilistically prepare two-spin maximal entangled states by detecting the frequency shifts of the NAMR.
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