Majorana fermions (MFs) are exotic particles that are their ownanti-particles. Recently, the search for the MFs occurring as quasi-particleexcitations in solid-state systems has attracted widespread interest, becauseof their fundamental importance in fundamental physics and potentialapplications in topological quantum computation based on solid-state devices.Here we study the quantum correlations between two spatially separate quantumdots induced by a pair of MFs emerging at the two ends of a semiconductornanowire, in order to develop a new method for probing the MFs. We find thatwithout the tunnel coupling between these paired MFs, quantum entanglementcannot be induced from an unentangled (i.e., product) state, but quantumdiscord is observed due to the intrinsic nonlocal correlations of the pairedMFs. This finding reveals that quantum discord can indeed demonstrate theintrinsic non-locality of the MFs formed in the nanowire. Also, quantum discordcan be employed to discriminate the MFs from the regular fermions. Furthermore,we propose an experimental setup to measure the onset of quantum discord due tothe nonlocal correlations. Our approach provides a new, and experimentallyaccessible, method to study the Majorana bound states by probing theirintrinsic non-locality signature.
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