We knew that one reason why most quantum mechanical experiments have to be done in a low temperature and isolated from environment condition is to preserve the coherence required for quantum states to be in superposition and entanglement, as the environment, via einselection, will entangle some of the states in the Hilbert space of the quantum system, turn them into pointer states and hence leaking the information about the phase relationship into the environment, making the coherence to be lost to noise, as well increases the entropy of the universe.
So, since almost every starting material we use in setting up a quantum experiment, from the photon emitters, to the magnets etc. are all perceived to be classical, when we create a superposition state in the lab (be it subjecting some atom to Rabi oscillation or some other means), are we actually introducing a new phase relationship to the observables of interests to the system thus allowing superpositions to happen, or are we somehow recovering some of the phase relationship that is leaked to the environment?
Another way to phrase this question, in creating a pure state in the lab, which starts off as very noisy and classical like described by a lot of particles in pointer states, are we actually lowering the entropy of the region where the pure state is created, and increase it elsewhere in accord to the second law of thermodynamics?