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Selectively addressing individual qubits in an array of ions is a vital task for scalable quantum computation with trapped ions.  Traditionally, this is accomplished using complex optics for laser beam steering, but such schemes are not easily scalable.  We have realized a scalable alternative which employs the advantages of microfabrication and cryogenic operation, and applies a magnetic field gradient to a chain of ions.  The field is generated by a coil embedded within the trap structure, and self-aligned through simultaneous fabrication with trap electrodes.  Measurements show that crosstalk between ions is below 3%:

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