  Coherent controlization, i.e., coherent conditioning of arbitrary single- or
multi-qubit operations on the state of one or more control qubits, is an
important ingredient for the flexible implementation of many algorithms in
quantum computation. This is of particular significance when certain
subroutines are changing over time or when they are frequently modified, such
as in decision-making algorithms for learning agents. We propose a scheme to
realize coherent controlization for any number of superconducting qubits
coupled to a microwave resonator. For two and three qubits, we present an
explicit construction that is of high relevance for quantum learning agents. We
demonstrate the feasibility of our proposal, taking into account loss,
dephasing, and the cavity self-Kerr effect.
