Quantum dynamics as a physical resource
  How useful is a quantum dynamical operation for quantum information processing? Motivated by this question we investigate several strength measures quantifying the resources intrinsic to a quantum operation. We develop a general theory of such strength measures, based on axiomatic considerations independent of state-based resources. The power of this theory is demonstrated with applications to quantum communication complexity, quantum computational complexity, and entanglement generation by unitary operations. 
Michael A. Nielsen, Christopher M. Dawson, Jennifer L. Dodd, Alexei   Gilchrist, Duncan Mortimer, Tobias J. Osborne, Michael...