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Indirect controllability of an arbitrary finite dimensional quantum system(N-dimensional qudit) through a quantum accessor is investigated. Here, Thequdit is coupled to a quantum accessor which is modeled as a fully controllablespin chain with nearest neighbor (anisotropic) XY-coupling. The completecontrollability of such indirect control system is investigated in detail. Thegeneral approach is applied to the indirect controllability of two and threedimensional quantum systems. For two and three dimensional systems, a simplerindirect control scheme is also presented.Comment: 9 pages, 3 figures. To appear in Phys.Rev.

Indirect control with a quantum accessor: Coherent control of multilevel system via a qubit chain