  Developments in the foundations of quantum mechanics have identified several
attributes and tests associated with the "quantumness" of systems, including
entanglement, nonlocality, quantum erasure, Bell test, etc. Here we introduce
and utilize these tools to examine the role of quantum coherence and
nonclassical effects in 1 vs. N photon coherent phase control, a paradigm for
an all-optical method for manipulating molecular dynamics. In addition, truly
quantum control scenarios are introduced and examined. The approach adopted
here serves as a template for studies of the role of quantum mechanics in other
coherent control and optimal control scenarios.
