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We present a scheme to store unitary operators with self-inverse generatorsin quantum states and a general circuit to retrieve them with definite successprobability. The continuous variable of the operator is stored in asingle-qubit state and the information about the kind of the operator is storedin classical states with finite dimension. The probability of successfulretrieval is always 1/2 irrespective of the kind of the operator, which isproved to be maximum. In case of failure, the result can be corrected withadditional quantum states. The retrieving circuit is almost as simple as thatwhich handles only the single-qubit rotations and CNOT as the basic operations.An interactive way to transfer quantum dynamics, that is, to distributenaturally copy-protected programs for quantum computers is also presented usingthis scheme.Comment: 4 pages, 3 figures, errors in Eq. (8) and Fig. 3 are fixed, to appear  in Phys. Rev.

Storing unitary operators in quantum states