  Research in quantum information science aims to surpass the scaling
limitations of classical information processing. From a physicist's
perspective, performance improvement involves a physical speedup in the quantum
domain, achieved by dynamically exploiting quantum correlations. In this study,
speed limits in interacting quantum systems are derived by comparing the rates
of change in actual quantum dynamics with the quasi-classical evolution
confined to the manifold of non-entangled separable states. The utility of the
resulting bounds on entanglement-assisted speedup is demonstrated on bipartite
qubit systems, bipartite qudit systems, as well as a complex multimode systems.
Specifically, the proposed speed limits provide a tight bound on quantum speed
advantage, including a quantum gain that can scale exponentially with the
system's size. Extensions of the results to open systems and measurable
witnesses are discussed.
