When is the quantum speed limit (QSL) really quantum? While vanishing QSL times often indicate emergent classical behavior, it still not entirely understood what precise aspects of classicality are at origin this dynamical feature. Here, we show that (or, equivalently, diverging speeds) can be traced back to reduced uncertainty in observables and thus as a consequence emerging for these particu...

There is a fundamental difficulty in generalizing weighted automata to the case of infinite words: in general the infinite sum-of-products from which the weight of a given word is derived will diverge. Many solutions to this problem have been proposed, including restricting the type of weights used (see Refs. [9], [10], and [11]) and employing a different valuation function that forces converge...