Towards the full-fledged quantum computing, what do we need? Obviously, the first thing we need is a (many-body) quantum system, which is reasonably isolated from its environment in order to reduce the unwanted effect of noise, and the second might be a good technique to fully control it. Although we would also need a welldesigned quantum code for information processing for fault-tolerant computation, from a physical point of view, the primary requisites are a system and a full control for it. Designing and fabricating a controllable quantum system is a hard work in the first place, however, we shall focus on the subsequent steps that cannot be skipped and are highly nontrivial.Typically, when attempting to control a many-body quantum system, every subsystem of it has to be a subject of accurate and individual access to apply operations and to perform measurements. Such a (near-) full accessibility leads to a problem of not only technical difficulties, but also noise (decoherence), as the system can readily interact with its surrounding environment. In a sense, we are wishing for two inconsistent demands, namely, being able to manipulate a quantum system fully by controlling the field parameters while suppressing its interaction with the field.