One of the most widely known building blocks of modern physics is Heisenberg's
indeterminacy principle. Among the different statements of this fundamental property of the …

We review various bounds concerning out-of-equilibrium dynamics in few-level and many-
body quantum systems. We primarily focus on closed quantum systems but will also mention …

We derive a Margolus-Levitin-type bound on the minimal evolution time of an arbitrarily
driven open quantum system. We express this quantum speed limit time in terms of the …

The evaluation of the minimal evolution time between two distinguishable states of a system
is important for assessing the maximal speed of quantum computers and communication …

Bounds to the speed of evolution of a quantum system are of fundamental interest in
quantum metrology, quantum chemical dynamics, and quantum computation. We derive a …

The attempt to gain a theoretical understanding of the concept of time in quantum mechanics
has triggered significant progress towards the search for faster and more efficient quantum …

We consider the speed limit for classical stochastic Markov processes with and without the
local detailed balance condition. We find that, for both cases, a trade-off inequality exists …

The quantum speed limit (QSL), or the energy-time uncertainty relation, describes the
fundamental maximum rate for quantum time evolution and has been regarded as being …

We show that the nonequilibrium entropy production for a driven quantum system is larger
than the Bures length, the geometric distance between its actual state and the …

Quantum metrology promises improved sensitivity in parameter estimation over classical
procedures. However, there is a debate over the question of how the sensitivity scales with …