Thermodynamics serves as a universal means for studying physical systems from an energy
perspective. In recent years, with the establishment of the field of stochastic and quantum …

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 …

Any physical system evolves at a finite speed that is constrained not only by the energetic
cost but also by the topological structure of the underlying dynamics. In this Letter, by …

Quantum speed limits (QSLs) provide lower bounds on the minimum time required for a
process to unfold by using a distance between quantum states and identifying the speed of …

Observational entropy—a quantity that unifies Boltzmann's entropy, Gibbs' entropy, von
Neumann's macroscopic entropy, and the diagonal entropy—was recently argued to play a …

In the Schrödinger picture, the state of a quantum system evolves in time and the quantum
speed limit describes how fast the state of a quantum system evolves from an initial state to a …

The quantum speed limit (QSL) is a fundamental lower bound on the evolution time for
quantum systems, and its tightness has been observed to be dependent on the properties of …

Quantum speed limits (QSLs) identify fundamental time scales of physical processes by
providing lower bounds on the rate of change of a quantum state or the expectation value of …

Trade-off relations place fundamental limits on the operations that physical systems can
perform. This Letter presents a trade-off relation that bounds the correlation function, which …

Observational entropy provides a general notion of quantum entropy that appropriately
interpolates between Boltzmann's and Gibbs' entropies, and has recently been argued to …