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Two qubit operation sharing schemes [J. Phys. B 44 (2011) 165508] aregeneralized to qutrit ones. Operations to be shared are classified into threedifferent classes in terms of different probabilities (i.e, 1/3, 2/3 and 1).For the latter two classes, ten and three restricted sets of operations arefound out, respectively. Moreover, the two generalized schemes are amplycompared from four aspects, namely, quantum and classical resource consumption,necessaryoperation complexity, success probability and efficiency. It is foundthat the second scheme is overall more optimal than the first one as far asthree restricted sets of operations are concerned.

Shared quantum control via sharing operation on remote single qutrit