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Connection between entanglement and the speed of quantum evolution

Batle, J.;Casas, M.;Plastino, A.;Plastino, A.R.
Physical Review A 72, 032337 (1-5) (2005)

It has been recently pointed out [V. Giovannetti, S. Lloyd, and L. Maccone, Europhys. Lett. 62, 615 (2003)] that, for certain classes of states, quantum entanglement enhances the speed of evolution of composite quantum systems, as measured by the time a given initial state requires to evolve to an orthogonal state. We provide here a systematic study of this effect for pure states of bipartite systems of low dimensionality, considering both distinguishable two-qubits subsystems, and systems constituted of two indistinguishable particles.