We investigate quantum control of an oscillator mode off-resonantly coupled
to an ancillary qubit. In the strong dispersive regime, we may drive the qubit
conditioned on number states of the oscillator, which together with
displacement operations can achieve universal control of the oscillator. Based
on our proof of universal control, we provide explicit constructions for
arbitrary state preparation and arbitrary unitary operation of the oscillator.
Moreover, we present an efficient procedure to prepare the number state
$\left|n\right\rangle$ using only $O\left(\sqrt{n}\right)$ operations. We also
compare our scheme with known quantum control protocols for coupled
qubit-oscillator systems. This universal control scheme of the oscillator can
readily be implemented using superconducting circuits.

通过引入辅助比特，我们实现了谐振腔模式的量子控制，并在强耦合条件下实现了量子控制的证明，同时出示了任意状态准备和任意幺正操作的构造方法，提出了一个高效的方案来准备数态，并与已知的耦合量子比特 - 振荡器系统的量子控制协议进行了比较，此方案可以 readily 通过超导电路实现。